Ya that's dumb but at least you can replay indefinitely. In RE Village's demo, you have a timer that shows up in the main menu indicating the time you have left. It doesn't go down when you're in the menu and when you pause the game, only when you're playing and during cutscenes. If it reaches zero, you cannot play the demo anymore. It doesn't just kick you out, it flats out prevent you from coming back. If you want to play more, you need to make a new account and download the demo again and play it while on your account. Or try a workaround by going offline and deleting specific files, hoping you're on PC and not console.
RE2 Remake did the same thing and called it "1-shot demo", although they didn't force you to be online and it wasn't limited to only a week. But they still did the time limit bullshit. The demo even come with achievements that are essentially pop-ups to tell you 5 minutes have passed every 5 minutes until the time is up (REVillage did it too). RE2's demo without timer was eventually made available later. Maybe they realized it was dumb. RE3 Remake's demo wasn't timed so you would think they learned from their mistake. Then RE Village proves you wrong and start the timer again, plus the online bullshit. They didn't release a timer-less demo as of yet.
Apparently it's because the original RE2 had a timed demo back in the day. Fair enough I guess, but the demo disc didn't become a brick after one fucking playthrough.