Do Pokemon stay 'super shiny' when they evolve?
In SwSh, they added a new shiny visual effect called 'super shiny', which has square sparkles instead of stars.
Are the square sparkles kept upon evolution?
They sure do! I caught a shiny Mr. Mime, which has square sparkles. I evolved it to Mr. Rime shortly after.
I tested this, and it maintained the square sparkles when thrown into battle