I wish the 121 world worked in such a way you could be home based, but with all those apps on file at the majors and all the new pilots entering the industry why would they ever consider changing the way things happen...
Commuting to reserve has been kind of a head game. I pay for the crashpad, which was 400 in LA and now 290 in Seattle.  That is money that if "home basing" was an option I wouldn't be losing every month..  In LA I spent about 200-300 a month on Uber rides, again another cost of commuting that one doesn't think of until they add up all the small things. The funny thing is I chose my current airline because it paid more than another, both airlines have bases where I live. If I went with the other airline, I'd be Based where I live now haha. Now the joke is on me because I spend at times more money on the commute than the difference in pay was
Granted regional wages have gone up in the last year or so,  the 35-40k I will make while commuting will equal 25-30k easily afther commuting costs are deducted.
So as we all find it hilarious that a new member of the JC community could actually ask about something as silly as base negotiations, maybe many others have the same question and that is the reason that more people won't get into the industry. Who really got excited even after that mainline job offer to commute??  It has just become such a known in our culture that we choose to accept a job that doesn't offer relocation pay if required to work out of a location, cost of living allowance while basing one in a very expensive city, or housing while commuting to that expensive a$$ city.. These aren't things that make new guys sound "entitled", these are things that make pilots sound dumb for accepting in the first place TBH. Please name 3 other professions that require such training and education that will not offer any new hire some sort of compensation upon accepting a job and having to move to NYC, or LA.  Please don't say.. "well, you get a new hire bonus now to pay for moving or commuting, because that would be called the commuting bonus, not the we don't pay enough to hire people so here is some money that we can take away anytime bonus"..