We tried this with my partner when they started to gain popularity as a content creator but gave up after a couple months because people are fucking weird. It didn't affect their income or viewership long term, but when they first started telling people every single stream that they have a partner they did lose a couple of relatively (at the time) big spending simps and lost some art commissions.
If you are a girl, or present as a girl, you without fail are going to be harassed by viewers that feel entitled to e-date you because they've donated to you once, or commissioned a piece of art from you. Even after trying to turn them down gently by saying you arent interested in online dating or that you're just not looking for a relationship right now people
still
do weird shit like asking where you live and offering to move to your city. Even if you
explicitly
tell someone "I am in a committed relationship with a partner I live with in real life and I am not interested in being your internet girlfriend" people will still repeatedly check in to see if you broke up or your partner died and you're ready to date them yet because they need you to know they'll wait forever for a chance to be with you.
Now whenever I'm home we make a point of me having a presence in the stream either directly on the mic, in voice chat, or just in the stream chat so that new viewers are aware my partner is in a relationship, but they still end up with a lot of viewers that develop gross parasocial relationships.