Fewer services would run locally. The typical user would probably not even care (or know) if their photos were stored on the phone or in the cloud.
I don't think that much would change at first, since everything else would become a bottle neck. 16K HDR streaming? Sure, but how many people would have a 16K HDR screen? Lossless music streaming? Already here, more or less, and does not require 1Tb/s.
Over time, everything would change of course, probably for the worse (for users). Mega corporations would be in posession of all user data, use it for AI training, ad targeting and all kinds of data extraction we can only dream of.