Yes, that's what devs should do. Or link to an issue from the git provider. Commit messages shouldn't contain customer information, they should contain fine grained information why the change fixes a particular issue and other technical minutae.
What you doing here is conflating business information and technical information. Business knowledge has no reason to be in commit messages. The code base should be 100% understandable without specific knowledge about what customer wanted what. It would be a huge red flag for me to see those things talked about in the context of the commit messages as a regular thing.
As always there can be exceptions but if this is normal operating procedure for your company I would run far and fast.
I'm of the opinion the only time this should ever happen is if it's a critical fix to allow ci builds to succeed. E.g. unit tests with hard-coded assumptions about the external world (current date etc.) that stop being true. Or errors in pipeline scripts that occur due to changes in a build agent.
Which customer? Is it the same issue as the one this other customer is reporting? How does the support person know the fix has been released?
Unless you are expecting devs to copy paste a tonne of info into commit messages, it's way easier to just put the god damn ticket number in the commit title.
If you really need to commit something with no ticket, just have a dummy ticket placeholder like DEV-0000.
99/100 it's just laziness on the devs part... It's way easier to add a ticket number than write super detailed commit messages, and every case of missing Jira numbers of seen, there has never been a detailed commit message in its place... /Rant over