Yes, no phase splitting, but as Charles1dad mentioned, there is the issue of one tube ending up doing most of the work. I know of an amp builder/designer who mentioned how hard it was for him to get PSETs to work because of this problem. But, he did hear the PSET amp I own (Audionote Kageki) in my system and agreed that it sounded very good.
The purists don't like PSET because they believe that the more tubes that as you pass the signal through more tubes, even in parallel, the sound becomes muddier. This is the same objection raised with high power pushpull amps that have multiple output tubes.
On the plus side, at least theoretically, the output impedance of the tubes operating in parallel is halved, meaning that the either the amp output impedance will also be lower or the designer can use a smaller turn ratio in the output tube (generally considered desirable).
Theory aside, I have heard plenty of good SETs, PSETs, pushpull and OTL amps so I have don't really care about the design approach taken.