Student or Learner
So why Is altogether right in this case: ''I'm not altogether convinced he is right'.'?
This is the second time you have said you can't put an adverb between a verb and its object. It's still not a rule.
However, your example does not have an adverb between the verb and its object.
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.