I have 5 year old HP laptop that is not officially sanctioned for Windows 11 but runs it with no problems at all. Windows 11 is not perceptibly any more demanding than Windows 10 for fairly modern hardware. Older hardware can sometimes present some challenges when trying to hunt down drivers, etc...
It sounds like your 4 year old HP could use a clean install leaving out all the bloatware that HP typically includes. It is also possible that you have some iffy components or bad settings in your UEFI/BIOS.
The issue is that it’s got an AMD A-4 dual core processor; the computer is worth every bit of the $200 I paid for it new off the shelf. It will run pretty much any single process but trying to run two things at once is problematical, and it’s very slow to boot up or load programs. And updates are a nightmare. I did try Puppy on it, but even that was frustrating. I’d rather try to upgrade the 15 or so year old machine than this one, but I have some old programs on it that I don’t know if they would run under Win11, so I’ll leave that one on 10 as well.
Frankly, if MS let me downgrade to XP on the two machines, I’d be willing to give that a try.
Win11 is just an effort to force new hardware on everyone; I expect anyone that can explain what’s in the new hardware that the government wants is under an NDA, so there is that.