If the specialist orthodontist said he doesn't think it will make much difference to your profile, then you have to seriously take that on board. From a GP point of view, I also think it will not help your profile; I think you look just fine. In any case, to retract your chin profile, you'd really only remove 2 upper teeth to pull your upper front teeth back and give the illusion of a straighter profile.
Computer simulations from Invisalign for cases like yours (jaw discrepancy) are a concern. I certainly wouldn't use Invisalign after extracting premolars; you really have to use braces, but your dentist, Dr A, probably isn't qualified for braces so he's not informing you of that option, ... or has he? Invisalign cannot move molars forward.
It is very rare nowadays (in Aust.) to have 4 premolars removed. It used to be a common procedure, but it tends to make people's faces look smaller and sunken. If unsure, then spend a little bit of money and get another specialist orthodontist opinion. It could save you a lot of tears.