Two different abbreviations of your name in literature
One of the implications that will happen is that it will be slightly more tricky to cite your works:


general confusion when citing an author with the inconsistent spelling of the name
this and this talk about initials usage
inline citations of multiple works may become weird
reference manager systems might be confused, and organizing a library would be more complicated (it is already complicated with all other caveats)


However, I have to say that the problem of the different spelling of the name in cited works happens quite often, so I would incline to say that the author being happy with the way their name is spelled is much more important.