I'll buy a home, get a mortgage or not, or rent, as it suits my lifestyle. I'm not going to worry about it. If someone doesn't want to approve my loan or rent to me and they are happy to do so with broke people, their loss. I like my mobility and I plan to utilize it even more post-RE. In RE you don't have the typical constraints and should be carving out a life based on cost and value rather than proximity to work.
Frankly, I'd like to find a smaller organization that isn't going to impose a pile of other BS on tenants anyway; even better if the owner is MMM-minded and willing to negotiate directly. Someone living off your rental payments will appreciate the value of zero eviction and payment risk.
My current budget is roughly rent+15K (easily push down to 5K if I worked at it and cut vacation). I'm married now and discussion of FIRE aspects of that plan is kind of out the window, but the math isn't hard to do. Rental inflation simply becomes an extra variable versus ownership and you have to be more open minded to exiting your locale if you get priced out. Since I value moving around, this isn't exactly a sacrifice from my perspective anyway, so I don't worry about it too much.
If you really want to live somewhere specific for the rest of your life, long term I would buy. I don't think anyone living in the CA south bay area in the 70s thought their home values would appreciate 100x. As a renter, you'd easily get priced out eventually.