I think LTS is more important for enterprise, but yes, it's one advantage to consider. Upgrading at a large scale can be expensive and LTS is more important then. As I just manage my servers myself, needing to upgrade once every 5 years is not really an issue.
Both have good 3rd party repo support and both are quick to release security patches.
Personally speaking, I've had more stability and compatibility issues for my needs with CentOS than Debian any time I've had to use it, but it's really a matter of personal preference, both are fine, neither is better than the other in any significant way outside of maybe LTS.
If you're contemplating between the two on a new system, try working with both in a virtualized environment for a bit and see which you think feels better to you. Both are well supported and widely used.