If you are certain you want to have a career in supply chain, then the specialized program is probably better.

However, a more general program would have broader career possibilities after graduation.

Many recent grads tend to pick a specialized MSc, work for a few years in their field, and then come back to do an MBA.

In terms of strong schools for supply chain, this is a good place to start:

https://mim-guide.com/lists/top-msc-supply-chain-programs

Rutgers, Ross, RSM and USC stand out to me on that list.