I think the term store is too technical for users and does not really correspond to the context whereas the term save is more natural to use.
Behind the word store there is the notion of preserving (to recover it later), stock up on something. In the case of a profil edition the aim is not to store data to retrieve them later. You want to enter informations about yourself to show it, not store them.
Moreover the term save is more safe to use. Behind this word you have the notion of save. You are sure that your data is saved, there is no ambiguity, you modify and save, that's all. It is more explicit than the word store.
I also think in the case of profil edition, the term store is not so good, not confident, not safe. I explain mysel, you imply that your data is stored, but stored where? by who? Who has access to my data? You sell them? and other privacy questions. You are more likely to confuse the user.
However the term store would be interesting in a context of storing elements in the server, cloud or another platform. For instance stock PDF inside Dropbox for retrieve it later.