The term "internal wiring" means wiring inside your house between your master socket and your router, or between your master socket and your extension sockets. No ISP will touch this; it's entirely your responsibility.
I think what you're actually talking about is last section of external wiring between the distribution point (DP) and your property; commonly referred to as the "drop".
have considered changing ISP to get the installation to resolve that wiring
Changing ISP won't make any difference. They won't make a new drop to your property unless you order, and pay for, a completely new line to be installed. If you've already ceased the old service then they'll re-use the existing copper pair, so you'll need the old service to remain active while the new one is installed.
There's no guarantee this will be any better, and it could be worse (if they pick a worse pair on the bundle back to the cabinet). If you really want to pay to try to squeeze the maximum out of your line, then talk to AAISP - they are an expensive ISP, but they guarantee to be able to fix any faults on your line.
when I query my neighbours addresses either side they offer the up to 71Mbs with an expected speed around 56-72Mbs
If your neighbours have never taken FTTC, then this will only show the estimate that the copper wiring model provides. In your case, since you actually have FTTC, then the estimate is updated based on the *actual* speeds seen on the line. So there's no guarantee that the speed they would actually get is any higher, unless you know for sure that they have a working FTTC service.
If you know (or search for) your neighbour's phone numbers, and enter them into the BT Wholesale broadband checker, and they *do* have FTTC, then it should show an "Observed Speeds" section showing what line rates down and up have been measured from Openreach's side a week or two ago.