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CalifJim

anonymousA: You would think he would visit his parents once in a while.
B: You would think he would’ve have helped me yesterday with the assignment.
In the sentences above, in reality, do the sentences say he does visit his parents and he did help me yesterday with the assignment?

No. The speaker is insinuating (hinting) that he does not visit his parents and that he did not help you yesterday with the assignment. And expressing mild disapproval about it in each case.

anonymousOr the sentences don’t say anything about whether he visits his parents or not, and whether he helped me or not with the assignment?

I don't think we can conclude that the sentences say nothing about those things. The discussion above answers this question as well. The sentences show what the speaker thinks and feels.

As outsiders hearing these sentences, we are more inclined to believe what the speaker believes: 'He' does not visit his parents. 'He' did not help you.

CJ

Thank you for the excellent explanation as always. Can I also say the following?

You would think he would’ve been helping with the assignment when you saw him with me in my room. We were actually talking about some movie.

also,

Can I use, ‘I would hope’, ‘I would believe’, ‘I would guess’, ‘I would imagine’ the same way as ‘you would think’?