Is it worth it to use Apple watch Stainless Steel Link bracelet with Aluminum Case

It is entirely up to you, if that is what you want. There should be no compatibility issues.

You can match most bands with any Apple Watch Series 3 or newer case of the same size. The 41mm bands work with 38mm and 40mm cases; the 45mm bands work with 42mm and 44mm cases.

The Solo Loop and Braided Solo Loop bands are only compatible with Apple Watch SE and Apple Watch Series 4 or newer. The 40mm and 41mm cases work with band sizes 1–9; the 44mm and 45mm cases works with band sizes 4–12.

For more info, see:

Buy Apple Watch Bands - Apple

Congratulations. I've had one for a long time. It's a terrific band. I'm kind of a band-a-holic and have a pretty large collection of Apple Watch bands, including some from Apple and some from other manufacturers, including leathers and stainless steel. Here's another example from Juuk my boss bought me for Christmas this year, which is very similar in style to the Apple Stainless band:

That's a personal choice of course. There is no reason you can't use the band on an Aluminum watch. While I have the Stainless Steel Apple Watch Series 7, I have recently purchased two bands (in stainless) from Juuk Design, which I think are of exceptional quality and they just so happen to sell bands in Anodized Aluminum, which might be a really good choice for your watch. Very high quality and more affordable, if you'd like to check out one option: https://juukdesign.com/collections/anodized-aluminum/products/42-44mm-velo?variant=29384110866550

If you'd like to see how this bands looks in Stainless Steel on a Stainless Steel Series 7 watch:

The aluminum version would be a better match with the finish on your watch, however.