Tom,
I don't feel that your questions have been clearly answered, so I'll do my best to do so.
tstoddard wrote:
Under "Write Settings" I have enabled both "Write Catalog label structure to IDimager ICS scheme" and "Always write Lightroom hierarchical keywords".
1. Is writing both advisable or not?
Definitely advisable. The other thread that you mentioned explains in great detail why it's advisable to write Lightroom keywords to the image file. The reason to write the catalog label structure to the IDimager ICS scheme is advisable in my mind because doing so makes it possible to restore your catalog when all other methods fail. Though Hert points out that writing the catalog label structure to the ICS is not necessary so long as you write Lightroom keywords to the files, I think it's advisable for the same reason that you would wear both a belt and suspenders to ensure that your pants don't fall to the ground. It can never hurt to enable both settings.
2. If, under "Read Settings" I enable both "Read Lightroom keywords only (if available)" and "Read IDimager ICS scheme (if available)" will one take precedent over the other and is it advisable or not to have both enabled?
Under normal circumstances, you should not read the IDimager ICS scheme. You should reserve reading it only in the abnormal circumstance that you need to restore your catalog and have no viable backups. If you ever need to enable that setting to restore your catalog, you should disable the setting immediately afterward. Indeed, that advice is explicitly provided in the IDimager V5 Help screen but I didn't see it (perhaps I overlooked it) in Supreme's Help screen. You can see Hert's confirmation above that reading the ICS scheme requires a lot of time.
I don't use Lightroom but I may decide to do so at some point so I thought it might be a good idea to write Lightroom keywords. It appears that Lightroom keywords include the hierarchy structure. If that is so, and PSU can ascertain my hierarchy from my Lightroom keywords, do I still need to write my structure to the ICS scheme?
As mentioned above, doing so can't hurt.