Well, first of all, if it's a frequently-used file, the data will "live" in your server's filesystem cache anyway, so although there is still the overhead of asking the OS to read the file, at least it won't entail a lot of disk activity.
Secondly, anything you do with mysql is going to be much slower in terms in raw access speed than a file in the filesystem. A dbms solves different problems--how to quickly locate a few records out of thousands, how to update a record independently of the rest of the data, how to coordinate multiple users all updating the same data, etc.
Finally, the real answer is, "It depends". If you can't measure the results, you're just shooting in the dark.