It is a relatively safe generalisation from my experience, both direct and through family & friends, even though I don't think it is true for my current circumstances.
The regime I'm currently under genuinely seems to value me and the others around. I've been afforded quite a lot of understanding with regard to unplanned time off (and sometimes missed deadlines) due to dealing with some personal issues and looking after ill family (damn near lost the old man a couple of weeks ago, scariest day of my existence thus far). Admittedly there are some things that I have a very low bus count on, so they can't just easily kick me out or risk irritating me to the point where I chose to go, but it is more than just that.
Of course if it came down to me or the whole company I'd be dropped quickly as is only sensible, so there is a limit to how much I can count on such loyalty (or if it _isn't_ loyalty, their feeling that they need to keep me around).
Previous regime¹ was quite different. I wouldn't have trusted some of them enough to lend them a fiver³, and when I got news of the current lot coming in I was very close to telling them to fuck off⁴ in most unprofessional terms even though I didn't have anywhere lined up to jump directly to.
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[1] I've effectively worked for that same entity for many years², though there have been a couple of complete changes of ownership & company name, the usual staff turnover overall, and changes to the product line-up.
[2] due in part to a shocking lack of ambition :)
[3] At one point I found out my line manager was leaving the day he did, via an email to the whole company about leaving drinks, management had known for at least weeks. Also working piles of unpaid overtime on a project then being bitched about by the CEO for not being present at 0900 on the dot one morning, was a good indication of how much my efforts were respected (I started working to rule at that point, in at 0859, out at 1731, no overtime without agreement up-front it would be paid for).
[4] What had stopped me some days earlier was the brexit vote: that implied potential economic uncertainty which, to my many risk-averse personality segments, demanded I be a little more cautious for a time.