Ask HN: Does LTS Linux still make sense?

Of course LTS still makes sense. In a production system you really only want to update the minimum possible in order to keep everything working, and the minimum possible is security and high-priority bugs only. Why would I want to keep churning all the software running all the time?!

Edit: clarifying which of your 2 answers I said yes to.

Have you considered containerization for the application? That would obviate the host OS issue mostly

Yes. Does not solve host OS issue. Still have to keep that up to date.

I didn't get how different Linux distributions and LTS versions are related. Care to elaborate?

Some distributions are rolling release where there is only the latest.