That was RCT1, and they released a patch quite quickly... I mean, at max half a year after the game released, obviously.

Now that you mention that again, I wonder what the underlying issue here was. Nothing in the game depends on the real time clock, and more importantly, how does reloading the saved progress at an arbitrary point in the future break things? I do remember though that poking around the game files I couldn't figure out back then where the progress is stored at all. When I moved to a new machine, I reinstalled the game and then copied over everything from the old machine, basically replacing the entire game, and still all progress was lost. I could still load the individual save games though–which I always saved right after passing the scenario, so nothing happened. Luckily I was only 4 or 5 parks in, so from then on I made sure to save individual scenarios right before passing them, never after, so the win condition would trigger again after loading them.

I believe it was even more than one game that had this problem. If the data would be stored in a file, then any kid would copy and edit it. So, it was put in shady places in the registry and other windows configs.