I'm sure any company would choose to not pay if they could. I'm telling you, that is why the regionals are feeling a shortage right now. No one wants to put themselves into the stressful situation of being financially unable to live somewhere, forced to fund their own move and try to pay that debt off while making 2k a month.
I don't think it's about wanting it more or less, but it is about what people are willing to put up with.  15 years ago the cost of living was not as high as it is now on the west coast (the PacNW anyway).  Now it is soaring with no end in sight, tried to be glass half full and move my wife to LA.  Could not find a place for less than 2k a month. Which is all of what I make while on reserve, didn't take much math to realize that was a potential      sand which.
Honestly, that is why we are seeing this switch in pilot personalities and mentalities. LCA saying new hires are argumentative, cocky and entitled. That is because in all honesty only those types of people are the ones who can afford flight training plus a degree now and days. People who come from money get the leg up, are all people that come from money that way? No, but from my observations so far a very high percentage are.  It is sad to see, I have so many bright friends who love aviation and would make great pilots.  But they see how I've been living the last four years and choose to stay clear.  This industry is in dire need of change, but it won't change until its past the tipping point.  I have applied to other jobs in the past, gotten calls from Gresham PD, Portland PD, Port of Portland and they all offer compensation packages above what I'm looking at in the next few years.  My stubbornness and hope that this will pay off one day keeps me in the game, but it's not enough for many people closing in on 30 with hopes of having a family in the near future.  That could all change with something as simple as a CoL adjustment, or home basing..
I know this is way easier said than done, but think about an airline like SkyWest.  It attracts applicants because of the base selection.  So how about a home basing solution in any city the airline has a base in, include a dead head on both sides of the trip and boom, watch the resume stack triple.