The paint that changes colors from different lighting angles is paint, been around for 30 years(?) now I think. I call it cameleon paint, I don't know the proper name. Might exist as part of a wrap, I don't know.

Gosh I wouldn't try to strip a composite frame. Even with metal, it's a big mess. Rattlecan paint is not durable, trust me, every bike I owned before my first good one at age 28 was stripped and rattlecan painted. A durable paint needs to be baked on. Bike Friday powdercoats their frame for ease of changing colors. I would worry about heat of any kind on a composite frame. But a painter that does composites could tell you for sure. But any existing decals or design paint over the base coat, will print through if not removed. Sketchy.

A wrap can look perfect, if no wrinkles. Many decades ago, a project car at Car & Driver, to do the mirrors, the painter painted some kind of plastic and then heat-shrunk it onto the mirror housing. But again, heat and your composite frame, I wouldn't risk. So I would choose a wrap that coordinates well with the current color, and just do the areas of the tubes that are not compound curves, so the material does not need to stretch.

If done professionally, a really good paint job could cost more than buying a duplicate frame in the colors you want, or commissioning a titanium frame from custom makers in china where others have sourced them. I don't know about the possibility of custom composite frames.

Look before you leap. Make sure you ask plenty of questions.

"To find the expert, pick the one who says it'll cost the most and take the longest time."