Bava Metzia 58b one is not allowed to remind a convert that they converted. However, they are given the name "Ben Avraham Avinu/bat Sarah Immenu" which makes them stand out and is a constant reminder as well as revelation to everyone who hears it that they are a convert.
What am I missing here? Would it be possible to leave out the Avinu/Immenu either officially or unofficially, such as when called to Torah or when they tell people casually? Could they lie about their name altogether as even "Ben Avraham/Bat Sarah" might raise suspicions, especially if they look a little/lot different?
Would they be allowed to leave it out of documents like a ketuba?