As @ReedsSeller said, we cannot answer this question for you because it sounds like no one here knows what that company’s relationship and/or history is with Amazon. Therefore, no one can hazard any guess about how that unknown could hypothetically affect your future unknown.
I am confused because your thread title states:
If I give user permissions to another person with Amazon’s User Permissions to Access my Account, but that person has had a blocked account in the past, will my account become suspended for it being related to theirs?
yet your OP says:
There is literally no way to know the answer to this ^^^ question. If you’re not comfortable, don’t move forward.
@Whyme–what are you thinking about doing? Why do you need this other entity on your account at all?