I have not made any kind of direct comparison, although I have heard the LTA amps that are based on the Berning circuit. It is a quite dynamic sounding amp, similar in that sense to an OTL amp, but, it is voiced on the lean side. If you are a fan of the 300b, 845 and 45 sound, my guess is that the LTA is not for you. The 2a3 single ended amps I've heard (I own an Audio Note Kageki) are a bit leaner, and hence closer to the LTA than the other tube types mention, but, I still suspect that the LTA is leaner an more brittle sounding than most SET amps, including those utilizing the 2a3.
When properly executed, I think that pushpull amps utilizing the tubes you mentioned can deliver a lot of what SET amps can do, but with a little more punch and dynamics. I would not leave out such designs from consideration, and I would add to the tube types to consider for pushpull amps to include the KT-66 and 6L6. You could also look at different SET models. There is quite a range of different sound based on specific models and manufacturers; SET sound is particularly dependent on the quality of the parts, particularly the output transformer, so really good SET amps are NOT low cost, even if the design appears to be simple.
Good luck on your search.
When properly executed, I think that pushpull amps utilizing the tubes you mentioned can deliver a lot of what SET amps can do, but with a little more punch and dynamics. I would not leave out such designs from consideration, and I would add to the tube types to consider for pushpull amps to include the KT-66 and 6L6. You could also look at different SET models. There is quite a range of different sound based on specific models and manufacturers; SET sound is particularly dependent on the quality of the parts, particularly the output transformer, so really good SET amps are NOT low cost, even if the design appears to be simple.
Good luck on your search.