I had a Modwright KWA150SE driving my Thiel 3.7s at one point. Many moons ago I owned 2.3s and 7.2s after that. Before the Modwright amp, I had a bunch of Proceed amps (HPA) and Bryston amps (ST and SST series). I now use a Class D amp (and had a couple of other Class Ds before the modded LSA Voyager I have now) and they all drove my 3.7s better and sounded better. The 3.7s are a harder load than the 2.3s, but not as hard as driving my old 7.2s.
As you noted, the room is very important. Also the way one listens both the type of music and how loud they listens matters. I can play my 3.7s loud with no issue. I also have an integrated AV system and still use my Modwright LS36.5 DM preamp for music. The 2.3s when pushed (do you have the originat tweeters - I believe eventually they had newer ones which were vented) can start to have a bit of harshness. The 2.4s were a bit better (when my friend worked at a high end shop many moons ago, I did most of his deliveries and installs with him over about a 6 year period - I remember delivering a pair of 2.3s with him and the room was just an awful choice for those speakers - high all glass walls on 2 sides, a stone and glass fireplace across the way and a small wall in between the glass walls with a coffee table at an angle that was used for the components - could not wait to get out of there - hurt my ears).