Please make all of this available in InDesign:

– Show the comment colored in InDesign as it is in Acrobat.

– Let us filter against comment color in InDesign as it is possible in Acrobat.

By default Acrobat comments use different colors. Furthermore the Acrobat user can choose any color for a specific comment or redefine the color for a comment type as he likes to.
In Acrobat I can even filter all comments by comment color.
This is quite useful, as it gives the user a good way to distinguish e.g. between typo corrections, grammatical corrections, and other types. I sometimes get PDFs, where I’m adviced to only correct all green comments in InDesign and leave all others untouched.