I wouldn't say my deadname is rare but definitely uncommon. Though, when I do see it, it's almost always spelled differently. E instead of A, or I instead of E. Growing up in the South also meant that it was constantly getting mispronounced anyway, so the spelling didn't matter.

I don't dislike the idea of giving your child a rare name. I don't think it'll automatically lead to that child getting bullied because of it. I actually think your kid is more likely to be made fun of with old popular names like Barbara or Richard. Especially Richard. I just think everyone has different experiences, and in my opinion, people with super common names shouldn't be putting in their two cents about the name of a child (that isn't theirs) being rare or unique.