Technically there has not been a single title in which HD has impacted gameplay; I've never heard of the 360/PS3 game that does not function on an SDTV.
You're probably thinking of the power difference between the consoles. In that case, STH4 as I understand it is using pre-rendered 2D visuals. That should pose no problem, processing-wise (see Muramasa). I'd be more concerned about the Wii's limited storage capacity, having only a 512MB flash and all.