>>richar+(OP)
I was perusing some Simpsons clips this afternoon and came across a story to the effect of "So and so didn't want to play himself, so Dan Castellaneta did the voice." It's a good impression and people didn't seem very upset about that. I am not sure how this is different. (Apparently this particular "impression" predates the Her character, so it's even easier to not be mad about. It's just a coincidence. They weren't even trying to sound like her!)
I read a lot of C&D letters from celebrities here and on Reddit, and a lot of them are in the form of "I am important so I am requesting that you do not take advantage of your legal rights." I am not a fan. (If you don't want someone to track how often you fly your private jet, buy a new one for each trip. That is the legal option that is available to you.
But I digress...)