I more personally lament the creeping buzzword-ification of "personal server" messaging. There's a burgeoning array of different underlying meanings for the terms "personal", "server", "own your own data", "full privacy", etc. It seems likely that terms like these will continue grow in popularity with adwords searches, so you can expect more companies and products to use this claim to sell a particular architecture with a potentially large set of technical trade-offs between various ideas of "server ownership".
Ultimately where I think the general trend towards "server ownership" will land, like all new important technologies as they get integrated into the rest of society, is with a company/product that best navigates a rather tricky balance between the affirmed value of "ownership" (et cetera) vs the individual's willingness to get their hands dirty with a slightly more sophisticated, but more robust understanding of the underlying architecture.
Put simply; the less the "end-user" knows about the fundamentals of their personal computing stack, the less capable they'll be when it comes time to reason about the right decisions for them regarding privacy, security, modularity, longevity, and the other various desirable properties of a personal computing stack that truly meets their needs (as parents, citizens, businesspeople, etc). The victor of this trend will be the one that best facilitates true "end-user" empowerment, with minimal gotchas.