Thanks for your reports. I've added support for the missing commands to TeX4ht sources. Paragraphs created by \paragraph and similar commands now have distinct paragraph styles.

Strange, the tracker removes the stars. To be clear, I am talking of the starred headings here.

> The paragraph heading is set as s "paragraph-h" character style. LO shows only paragraphs styles in the main toolbar, but you can select character styles in the style inspector.

I see, thanks. I was furthermore mislead by the fact that I was using \paragraph* which doesn't seem to be handled yet (neither is \subsubsection, as opposed to \subsection and \section*)

> We can create a new paragraph style for the whole paragraph. It is a bit more complicated, but not too hard.

For my usecase, this would be very useful (while keeping the character style additionally)

After todays's TL update, this works flawlessly for subsubsection.

However, \paragraph is converted to normal text body style (also in other classes, as it were) rather than a semantic style of its own (as I would expect).

As it is, it is hard to identify and handle \paragraph's after conversion to ODT.

WRT to LaTeX output, I would probably expect \paragraph headings to be merged with the following paragraph and be assigned to a distinctive semantic style.

Ideally, this would be a run-in sidehead, but as it seems, this is not yet implemented in ODT:
https://bugs.documentfoundation.org/show_bug.cgi?id=48459

although there are workarounds:
https://forum.openoffice.org/en/forum/viewtopic.php?f=71&t=709

For practical reasons, a semantic style would help a lot already, as one could easily locate and handle the uses than (as opposed to the current handling).

Thanks for the report. It should be fixed in the sources.