It’s not ideal assessing a new DAC as well and I would suggest listening to one change at a time.Keep in mind that you are not just assessing the speakers but also a new DAC, etc. It might be that a TT2 would give you what you feel is missing so far or the speakers might open up, your ears might need to adjust to the sound, etc.
My view is that the speakers will reveal whatever the source can provide.
A speaker will reveal the source but the speaker itself also has a ‘sound’. I love the sound of my Benchmark through Quad/Harbeth but not my Neumann studio active monitors as they don’t do ‘musicality’. Sometimes it’s possible to point the finger at the speaker but I have no idea if a different DAC will solve the problem.