Can I get any better hearing aids if I raid the NHS's proverbial cupboard illegally?

If its now the hearing aids that are the thing that wrong then you need to still contact them.

Hearing aids won’t make you have perfect hearing.

What are the names of the hearing aids?

They will unlikely give you more aids until 5 years has been up. You may want to actually make an appointment for tweaking of the aids. You get what you get given with the nhs. Most only order one brand so you get given what they haVe.