NFS MW save files

I used to play NFS Most Wanted back in college and recently downloaded it. It's been at least 4 years since I last played, and it was on a different computer.

But now when I opened the installed game on my laptop, I was surprised to see my saved files still present in the 'alias' section.

Is this normal?

Assuming you are playing the game through Origin, the answer is that they have a 'cloud save' feature (since at least 2013):

Does Origin support cloud saves?

Yep! Origin houses your in-game progress files in the cloud so you can jump into your save from any Origin-enabled computer of the same platform (Mac or PC). It's also a helpful backup for locally saved games, in case your hard drive decides to call in sick. Permanently.

This is why your save file was available to you even though you are playing on a different computer several years later.