Boiling down the problems with healthcare being "for-profit" is like blaming an infection on the bacteria and calling it a day. In reality the bacteria have only been allowed to fester due to deeper problems.
I'd say the real problem is this industry has used regulations, both government and shared corporate "policy", to except themselves from most standard forms of accountability and market (aka patient) responsiveness. What other industry cannot tell you how much something costs ahead of time, and operates by sending you an arbitrary bill after the fact that is still fraudulent with amounts of 3-4x the actual prices? What other industry prevents new competitors from opening without a "certificate of need" ? What other industry is allowed to negotiate amongst itself to blatantly fix prices ? What other industry has had a lauded attempt at reform that included making patronizing that industry mandatory ?!
This certainly isn't a call to blindly "eliminate regulations", as history has shown that kind of thing mostly eliminates remaining checks while not going anywhere near the regulations that actually need reform (which are a lot of entrenched industry wide "business practices" at this point). But rather these are the terms we need to be thinking in rather than knee jerk blaming "profit".