SephJul pretty much summarized my thoughts.

I am against Turbo controllers, macros or anything similar.

What would be cool though would be the glitch to happen in other cutscenes of the same type (cutscenes that occur during gameplay and that you cannot skip). However, I can't see anyone on top of my mind atm :/ But it's still worth looking into.

This looks like my old Cutscene Damage Glitch :

Unfortunately I don't think you can really save time as the statue just gets out of the way when you get to it w/o glitch :s

SephJul timed it and it's 4s faster to do the "cold feet" strat, at least on REmaster (not idea about REmake, but it might be slower due to the slow cutscene loading on GC/Wii)