Arguing over labels is a red herring. Is it a hike? Maybe. Who cares? Many reasonable people might say it's a hike, so don't hide from that or try and split hairs. At the end of the day it's the right thing to do... so do it, even if it's a hike.
There's framing debates and there's Bill Clinton arguing about the meaning of the word 'is'. Sometimes you got to know when you're doing the former and when you're tilting at windmills. I also think the right's perceived advantage here is heavily overstated.