Nice! I did the same full LED swap on my '13 except for the DRL/high beams. I assume you are running with the DRLs disabled? Or do those PIAAs somehow detect the weird 6V signal?
And yes, swapping the flasher is a PITA. I did it multiple times as I went through three "LED-compatible" flashers until I found one that was truly compatible. Do you have the Toyota remote start module? For some reason that is the only thing that behaves oddly - the flashes are almost like strobes when I use it (which is rarely, so I don't really care). And yet the hazards work perfectly.
But that SmartTap is intriguing, I had not heard about it until now, thanks for sharing.