Possibly, but not necessarily. What is certain is that no developer who gives you free stuff has any obligation to fix bugs nor to submit themselves to any low-key bullying from users of said free stuff about how to spend their time and develop the software they decide to share with others.
FOSS Zeolots: everyone should use FOSS! Micro$oft is evil!
Also FOSS Zeolots: Oh you have a bug? Screw you. You're getting it for free. Stop complaining. I'm busy making a new icon.
OSS is great. But until this attitude is killed, it will continue to hover just above "who gives a shit" for anything other than developers
Also unless someone has explicitly expressed they are taking such a responsibility you describe, such a responsibility only exists in some people's minds. A lot of programmers want to share free stuff they made and stop there.
If anything, the entitlement you express is counterproductive, because sometimes people like you convince open-source developers that their time is better spent catering to your sense of entitlement instead of their software.
Source: I am a maintainer of several projects. Some that are used extensively. And I take bug reports seriously, even if I can't always get to them right away.
"it's free, go away" is a real problem. Denying it won't make anything any better or help FOSS get adopted for anything other than servers.
I have experienced it many times before, and almost every time I've gone back to propriety software and breathed a sigh of relief.
Characterizing this as a problem is like accepting free candies from someone and then complaining that you were not given more candies.
(of course i knew someone would try to reply with a "No, it is like <insert post ignoring the point here>" but decided to go with it anyway)
It's perfectly possible to report a bug without demanding that it be fixed.
Also, "it's free, go away" is a straw man, because the "go away" part is also nearly universal within proprietary software. Try opening a ticket regarding a bug in Word, or AutoCAD, or so on.
The real difference? Those closed products also have closed bug trackers, so you don't get to see all the times users were ignored or told to pound sand.
This "real problem" exists entirely in your head.