In the past I managed a body shop.
A vehicle was towed in and when I contacted the owner he told me he had Geico and was going to have the vehicle towed to a shop closer to his home. I offered to make all the calls to have the vehicle towed before he changed his mind.
My boss and I would rather lose a job than repair a Geico claim.
On the other hand we had a good working relationship with Progressive and had no issues with them.
Geico makes a good commercial but they are clueless about insurance.