The GOP and its politicians will do whatever is politically advantageous. So, if Trump gets curb-stomped by Biden, the answer to your question is 'yes'. If it's a closer race, it's a 'no'. Principle in the Republican Party is long-dead, cauterized by Trump and his lackeys.
I mean if we had a President Kasich or President Rubio instead of Trump Arizona, Georgia and Texas wouldn't be competitive this year.
So, it's not so much about Demographics in those States. Instead it's about Trump and Trumpism.
Kasich or Rubio would have beaten Clinton in an Obama-2008 like landslide in 2016 and they both would have done the same in 2020.
Democrats are incredibly lucky that they could & can run against Trump for 3 Election Cycles in a row.
I doubt that they will have this much luck in the Future.
Honestly, Republicans wouldn't have even lost the House if anyone else was president. Democrats might have still picked up a few seats like CA-49, VA-10, IL-10 (which wouldn't flip in 2016), CO-06, but most of those suburban voters would not be disgusted with Kasich or Rubio like they are with Trump.