Thinkpad L14 Gen 1, anybody care to take a guess?

You have no idea how little that narrows it down, there's an Intel and an AMD variant.

lol so the answer is "probably not".

My apologies, it runs a 4750u amd processor.

That gen should still have "real" S3 sleep, with S2idle/S0ix (same thing, different name) being an option. I'd guess yes.

Is suspend-to-ram something that often doesn't work on laptops with Linux, really? I used it on dozens and saw problems maybe once or twice. Though I usually pick ones which are 3+ years old.

The problem is that platforms are removing S3 and S2idle support wasn't great for a while. Those problems should be mostly resolved in 2024 though.