@jtimothya,
Energy supplied to the transducers is actually very close to the energy in the tank, since thin stainless steel is essentially transparent to ultrasonic energy. If the plastic is easily deformable such as a PVC record, unlike thicker metal, then plastic will absorb energy which will be cause an increase in PVC record temperature, increase in the bath temperature from UT notwithstanding.
Overloading for metals used for UT tank cleaning has been a topic of conversation and analysis for some time with fixturing and spacing applied to achieve acceptable results. But for metals (and some non-metallic) cleanliness verification has been in use for decades. For critical applications such as high pressure oxygen were surface contamination levels as low as 5 mg/ft^2 and particles as small as 50 microns (if accelerated by flow) can lead to a fire (that looks like an explosion) NASA and the Navy have very detailed cleanliness verification methods using very specific chemistries and analysis methods - you may find this report of some casual interest -
https://p2infohouse.org/ref/14/13872.pdf; I wrote it. I developed the cleaning and verification procedures and I share the patents for Navy Oxygen Cleaner, the details are now formally documented MIL-STD-1330/1622; so I do have 'some' knowledge in this area.
However, use of UT to clean PVC records is a relatively new application. But, in the case of PVC records that have a very defined geometry and surface area, overloading can be analyzer by number of records per tank and per watts. But, this can be complicated by UT transducer location - side of tank or bottom. If side of tank, will record(s) in the center of the stack see the same cavitation energy? The record grove is pretty well defined reported as a V-shaped groove that is 56 microns (0.0022") wide at the top, a radius of 6 microns (0.00025") at the bottom, and a nominal depth of 28 microns (0.0011"), with groove spirals are nominally 200 grooves per inch equal to a groove separation of 125 microns (0.005"). Note that since the stylus rides below the record surface, contamination on the surface of the record should have little impact unless it is deep enough to affect the surface the stylus sees, which is why some used records with very fine surface scratches (likely caused by use of multi-stack record changers) can still play perfect.
The chemistry used in the UT tank can have a significant impact. The very small grooves of the record really need a cleaning agent/fluid that will reduce water surface tension to assist with wetting/getting into the groove. This is very different from smooth metal surfaces. Tergitol 15-S-9 is a gentle non-ionic surfactant and at 0.06 wt% is at its critical micelle concentration (CMC) and will reduce the surface tension of the water from 72 dynes/cm to 30 dynes/cm, and with a 13.3 hydrophilic-lipophilic balance (HLB) categorizes it as detergent. When using surfactants you target a concentration of 5-10 times the CMC to get acceptable bath life, any more and you only complicate rinsing. If you do not rinse with water (can be simple tap followed by DI water final simple spray rinse), softly adherent contamination may remain and the surfactant will bind to the PVC in an invisible transparent layer (just angstroms thick) that can affect the record sound and 'gunk' will build up on the stylus. Using any aggressive solvent based chemistry or high temperature or too much power and you risk extracting or possibly eroding some of the PVC binders in the groove noting that the groove ridges are much smaller than the groove.
What you are trying to clean, has a significant impact, and for most general type cleaning such as a PVC record, a wide variety of contaminants can be present. Depending on the type of contaminant, there will be a minimum exposure time, and in precision cleaning for sensitive material such as PVC a maximum duration of 10 minutes would apply (ref MIL-STD-1330). But, the PVC itself presents a difficult material because particles may be embedded in to the surface. Temperature always helps since the PVC will expand helping to free up embedded invisible particles (as small as 1 micron and less), and simple oils will soften and flow.
The human eye assisted with bright white light can see particles sized 50 microns (ref MIL-STD-1330D, I wrote it). So this is not small enough to see the smaller particles that could be in the trough - ~6microns, let alone those between the groove wall ridges. Have you ever tried Ultraviolet (Black) Light to inspect for particles and fingerprints? Blacklight can detect contamination at about 25 mg/ft^2 and particles as small as ~30microns? Animal/vegetable fats will fluoresce. Mineral based oils/greases generally will not fluoresce. But, like you say, there are currently are no cleanliness verification methods for PVC records other than play and listen. So, you are still in the experimentation phase.
Otherwise, I do not use a UT tank for record cleaning. I developed my own manual cleaning procedure (that steps off from what the Library of Congress uses) using the VinylStack record protector that I can clean/dry 6 records in about 45 minutes which is good enough for me; and I am fine with the results. I am using a multi-step process of pre-rinse with flowing tap-water, clean/scrub with Tergitol 15-S-9, post-rinse/scrub with flowing tap-water, final rinse with DI water spray, then two step dry - medium-pile lint-free microfiber and final dry with anti-static cloth - after which it only takes another few minutes to completely dry. I developed a fully detailed procedure just for an exercise formatted similar to a Military Standard-Tech Manual.
Hoped the above expands upon the knowledge base, and Good Luck.
R/Neil