I do not have an uncommonly spelled name (Alexis/Lexi) but my mother’s name is [name_f]Kristi[/name_f] and my dad spells his nickname [name_m]Rik[/name_m], and it has definitely been interesting for them.
For my mom, her parents were originally going to do [name_f]Christi[/name_f], but decided that [name_f]Kristi[/name_f] looked prettier in their eyes. [name_f]My[/name_f] mom has told me on numerous occasions that growing up her name was spelled every way but the way she spells her name. [name_u]Christy[/name_u], [name_f]Christi[/name_f], [name_f]Kristy[/name_f], etc. We all have gotten used to her name being spelled that way, (I for a long time thought that was a common spelling) and we all know now when people ask for her name go, “Kristi K-R-I-S-T-I.” In total, I believe that we have only met three other people with their names spelled that way, one of which being my fourth grade teacher.
[name_f]My[/name_f] dad, [name_m]Richard[/name_m] who only goes by [name_m]Rik[/name_m], apparently spelled his nickname like that because he had a whole lot of [name_m]Ricks[/name_m] in his class and wanted to be a little special, along with the fact that when he played videogames, [name_m]Rik[/name_m] would fit in the name slot a lot better. This has given us less trouble, since he still puts [name_m]Richard[/name_m] on all formal papers, but it has given him troubles with his mom who does not like that spelling and only spells it [name_m]Rick[/name_m], but other than that his spelling is just his preferred spelling, and majority of people respect that spelling.
[name_f]My[/name_f] brother and I, [name_m]Zachary[/name_m] and [name_u]Alexis[/name_u], while we do have normally spelled nicknames, [name_u]Lexi[/name_u] and [name_m]Zach[/name_m], we have our nicknames misspelled all the time. I have my nickname spelled [name_u]Lexie[/name_u] or [name_f]Lexy[/name_f] all the time, and my brother has his name spelled [name_m]Zack[/name_m] all the time.