Rascals are always sociable, and the chief sign that a man has any nobility in his character is the little pleasure he takes in others company. Arthur Schopenhauer
There are two alternatives to Twitter and their ilk:
The indie approach, where everyone basically hosts their own profile and there are no Twitter like sites at all, one instead uses readers that are completely separate from ones hosted profile, just like it was in the blogosphere days. One example of this is indieweb.org .
I tend to favor the indie approach as the federated one seems to in practice often end up with interoperability issues and mono-cultures, at least historically, plus there are still central providers whereas in the indie world everyone is a provider themselves.