I agree on all points, without disputing Brian's suggestions for creating an optimal beam profile,
if starting a projector build from scratch. But, all of those components probably won't fit inside most production projectors.
Yeah, who doesn't love TEM00 beams from ion lasers? I love just watching the tube glow. But, my home doesn't have 3 phase and my well can't sustain 30 GPM. TBH, I still remember the wonderful relief of subconscious tension when that damn pump noise ceased after a long session.
I wouldn't be back into this game, if not for modern inexpensive, aircooled, 110V, RGB diode lasers. But, I digress.
I had a dichroic drift problem with my initial el cheapo projectors. If you have been making lots of dichroic mount adjustments, perhaps the mounts have developed material fatigue, w/o maintaining sufficient pressure against the alignment screws and could be replaced with newer/better ones. Worked for me.
While searching for single mode RGB diodes, I discovered these
Sparrow enclosed RGB diode/TEC modules with low divergence collimating optics by Live LaserSystems, Austria. Best gear I've seen so far. (But, I haven't seen Kvant's, TBH.)
Also checkout the doc on their
Colordrive One, w/TEC drivers. Phillip, their CEO, online customer service rep, and product technical guru is very helpful and personally tunes everything himself. For example, I mentioned that the far field within my living room is only 25', so he set up the collimating lenses to produce an optimal RGB spot at that range. He fine tuned the TEC drivers too be optimal to the specific diodes ideal temperature ranges.
Like a rich kid in a toy store, couldn't resist scooping up this set of projector bits (6 months, 0% Paypal credit 🙄 ). Haven't built the projector yet to testify on beam quality. But, my expectations are pretty high.

Really like that the Sparrows' optics are well covered from contamination. Also, there's only one ribbon bus cable that connects all of the drivers together, reducing air blocking cable clutter.
Their dichroic mounts look pretty solid, as well.
Hope this helps to solve your beam drift and profile woes.