The problem with
anonymous e-mail address + burner phone + always use TOR to access the account
is that this doesn't play out well in the medium term. This triggers various automatic "anti-abuse" measures on Twitters side. Those measures include: random prompt for re-verification of the phone number, which fails with the burner phone number used to create the account.
It's hard (if not impossible) to maintain such an account in the long run while protecting ones identity.