You only have to look and listen with regards to the RAC mechanical warranties compared to WHA, Green flag or whatever else is out there. Public knowledge and opinion of the cover is excellent in my experience, they know and respect the RAC and AA. I have said for years exactly what you have just posted, which is why I ain't a member of anything at the moment, although I am looking at the Bosch scheme, one big factor being it's a household name and has been for years.
I used to be a UCCC too, but I think the scheme drowned in it's own politics, not enough was done in the way of publicity. Ask any car owner who Unipart is, then ask them who Halfords is !