Try clicking, hovering or tapping on that “X time ago” thing. I just tried it on your instance and it seems to work there too, definitely does on mine.

Not sure but:

The project (https://codeberg.org/rimu/pyfedi) link to an OpenAPI that you can use (https://stable.wjs018.xyz/api/alpha/swagger).

GET /api/alpha/comment returns a JSON that seems to contain what you want (published, updated, etc.)

You can easily do that in Python.