I can't count the number of times I have offered someone something and they really don't believe that I mean it. For example: offering to loan someone my car. I have had it the opposite where I don't believe someone else when they are offering me something out of the ordinary. It is actually stressful on both ends to be offerer that is disbelieved and has to make an effort to show genuineness and to be the receiver that has to gauge genuineness. I am aware most or many people offer things secretly hoping that they won't get taken up on it. I've done that too.

My question is, since it is stressful to do the disbelief-assertion thing and since often times because of it a genuine offer doesn't get accepted or even stated and because an accepted offer has positive social and practical impacts: Would it be better if people dramatically lowered their personal bar for accepting offers? Assume that people still offered things secretly hoping they didn't get accepted sometimes at the same rates they do now, but people just took up offers without disbelief.