You’re the one with the cash (or mortgage), aka the customer. Throw your weight about a bit, we were having a PITA over a couple of small things going backwards and forwards via solicitors/agents until we phoned up and said “look, we’re not going through with it unless you sort out XYZ paperwork (gas and electrical certs, it was a rental property so their absence was suspicious, I’d not expect them in a normal house), scanned copies arrived in my inbox 20min later!
As long as the surveyor’s happy I can’t see what their problem is. Sounds entirely sensible especially as you’ve probably already spent longer in the house than the surveyor will!