Yes, but since there are no studies about it that I know of, I necessarily fall back on my wide ranging anecdotal experiences--which is validated to a significant degree by the ever present wide use of the straw unicorn fallacy. But I'm also the first to admit that there are a goodly number of reasoned atheists, whose outlook I equate, reasonably, with deism. I won't argue with you about which is the larger contingent, but like political liberals, they are the more vociferous. And need I point out that stereotypes typically have a foundation in facts.
But my speculation follows logically from the one "If" proposition-- if God exists. If God exists and created the universe, it would have to be a stage on which sentient creatures could exercise our free will without the influential knowledge of It's existence. Walking away from such a billions of years in the making creation would make no sense. And anyway, a God powerful enough to create the universe, could have done anything else instantly. A supernatural God creating creatures with unfettered moral free will is one helluva trick. The minute we have a 51% certainty that It exists, the experiment, the test, is spoiled.