@experiencer I suspect that the main issues with running Mint systemd/Linux on that old computer would be proprietary iGPU drivers, but I believe a free driver might work on that card.
I suggest trying out a Trisquel live image - I do reckon I'll work just fine; https://trisquel.info/
Trisquel uses a bloated version of GNU Linux-libre with pretty much all the free drivers compiled in.
From research, it doesn't support some old hardware well sometimes (e.g. I was researching Linux Mint a while back for an AMD Athlon 64 X2 5200+ system, it was mainly the iGPU which would have issues) unfortunately