The H3 uses GM's latest and greatest body control module, and the flasher is the module or the module is the flasher
; one reason why it sounds weird.
Whether or not it will compensate for the lower amp draw on the LEDs is something I can't say. It is a pretty damn smart BCM, and with the low draw, it could think the circuit is open.
Sorry, can't help any further than that, but be curious to see what you find out.