Sorry Charles you probably have more experience then i do but being an audiophile for over 25 years and the budget to spend as much as i like on this hobby.
Years of buying and selling has tought me many lessons, i would say an evolution in trainning the ears.
I have owned Solid States and SET Amplifiers, Horns and Full Range Speakers, bookshelf and studio speakers to active speakers from studio and audiophile markets, your conventional speakers to even PA Speakers like Danley Sound-labs too. DIY builds on Speakers and Amplifiers from different designs some well known and others not so much.
So far to my Ears with my current experience OTL are superior over any SET Amplifiers in almost any way and so far over any Solid State Amplifiers too.
If you want super lush sounding or slightly colored music then SET would be your weapon of choice but that is more to do with preference and their are many wonderful Sounding SET Amplifiers i personally still would never Sell i like the SET sound too but over each other you obvious know which i would pick. That being said in my main Room for musical playback OTL will always be a permanent keeper. So to my ears and my experience and my preference and conclusion.
OTL Is Superior Amplifier ( I dont intend to tick anyone off) This is based on my life journey as a Audiophile.
I currently use the Classic Audio T1.5 and T1,3 Both Field Coils In my home in diffrent rooms both are 16 ohms
I also own Western Electric Field Coil Speakers which is a clone made by Line Magnetic these are also 16ohms
I have the Cube Audio nenuphar Speakers Mated with SET Amplifiers in my bedroom.
I have other rooms with Active Studio Speakers with Tube Pre-amps. Various rooms have different setups.
Overall the combination of Classic Audio Field Coils with OTL is by far the most superior of all my audio systems and i would extend this to saying i have never wanted to change this combo even when i have visited various shows with uber priced audio gears.