My area has the opposite problem: motorists offering to let cyclists go when they have the right of way. It's generous of them to make such an offer, but they don't seem to realize that the safest thing for a cyclist to do is follow the same rules as motorists when they are cycling in traffic.

(Of course my area also has reckless motorists who don't respect the rules of the road, but they seem to believe they are above the law whether they are interacting with cyclists or other motorists.)