I'm so used to rapid rise now, I think I'd have a hard time going back to high normal. Thankfully the 4700 shifter does seem to work perfect with the 9sp cassette.
I went ahead and bought a 4600 shifter on ebay, though. I'll either swap it out and put the 10 sp cassette back on, or I'll save the combo for a future bike and keep using this bike as a 9 spd.
I bought those 4700 shifters on ebay a while back, figuring they'd be good to have in the future for moving to 10spd because it was getting harder to find quality 8sp and 9sp parts. Never would have guessed Shimano made two different flat bar Tiagra 10 spd shifters with different pull ratios. But I guess this is what happens when I make bad assumptions.