I can’t argue with your logic, and if I had thought about it, might have done the same thing.
It did not matter on our last two house purchases - one in a cooler than average market, and the other in a blazing hot market. We stood firm on each of our offers. In both instances, our offers were accepted, despite having financing well above the offers. We may have just gotten lucky, but I’m confident that we did not leave money on the table.
Good luck finding the best house you can, for the best price you can negotiate.
We did leave money on the table in the form of using a non-rebating real estate agent. Both homes were in cities that we were completely unfamiliar with. We had never heard of a rebating agent at the early purchase, and the Redfin agents we interviewed here had less time in the market/area than we wanted.