I don't find this blunt, it's your experience.
For what it's worth, I've a experienced a fair range of what is possible. I've worked on local, mixed, and remote teams in both IC and lead roles.
This experience has led me to believe that: (a) it is possible to have good cohesion in a remote group (b) it is harder to do and (c) it is especially hard to do with a new group & company. Perhaps less universally (d) it's really hard with mixed hardware/software groups.
It's undoubtedly true that lots of large organizations do it, with varying levels of success but generally pretty well (there are exceptions). It's also true that they invest a fair amount into making this work, in my experience, and the infrastructure matters.
I've experienced very well functioning remote groups, less so mixed remote/local - but I certainly believe it's possible. It's always required more effort and intention, and they've never quite reached the same level of cohesion as some small local teams.
As you note though, YMMV.
Also I didn't mean to suggest "remote work == just a paycheck" though I can see how that might be ambiguous.