If it works on mint, it'll most likely work on debian, with the caveat that debian is a lot more CLI and a lot less handholding. Depending on your setup, debian might be a better choice for you, as Mint is desktop oriented.

But don't fix something that already works. If there's no issues with your Mint setup, I'd say keep it. Next time you set up a server, you can go for debian instead.

Source: I use both extensively. Mint on desktop, debian on headless stuff.