I have the exact setup you’re describing, more by accident than design, but I really like it.
Took bike in to shop to have the bars swapped to aero carbon ones (along with a load of other stuff), mechanic but new bar tape on but obviously his scissors had broken so he wrapped them to the normal position, covering the moar aero bits. Was a bit miffed but too excited to try out all the other stuff so went for a ride and it works pretty well as a hand rest when climbing, as if I’m on the tops I’m not really gripping the bars just using them as a prop to stop me falling off the front.
Does mean it’s not quite as aero though…