I have a Mastodon, Friendica, Peertube, and a PieFed instance. I'm an Admin.
Let me make sure I understand. You are asking whether I would care if you were using my server, and you asked a different server Admin to remove your data from their server (and probably ban you on that server)?
If this is what you are asking, I personally wouldn't give it any thought. It's your data. If you don't want it on some other server, then you certainly have that right. I frankly don't think any Admin would have a problem with this. Even the opposite would be fine. If someone asked me to remove their data that came in remotely.
I might even be impressed that you are enforcing and thinking about your rights to privacy and your right to control your own data.