Decide what the site does that your Google profile cannot
A large share of first contact never reaches your website, which should change what you build rather than discourage you from building it.
For a service business, the profile in the map results carries the name, the rating, the hours, the phone number and a route. Plenty of customers call from there and never see a page you designed.
The correct conclusion is not that the site does not matter. It is that the site is meeting a different person: somebody who did not call immediately, which usually means they are comparing, or they are researching something larger than a repair.
That person has questions a profile cannot hold. What a replacement actually involves in a house like theirs, what the options cost against each other, what you do differently from the company they called last time, and whether you handle their kind of equipment.
Built with that reader in mind, a site stops competing with the profile and starts doing the part the profile cannot. Built as a brochure, it duplicates the profile badly and adds nothing.
It also means the profile deserves the same care as the site, since for many visitors it is the whole experience. Photographs, current hours and answered questions there are not a side task.