Termites honestly don't have a lot of attributes that ants do that would make them popular pets. The most obvious of them is their ecology and their status as a pest.
-Ants make good candidates for pets because:
-They're generalists, they can eat a variety of things.
-They're incredibly diverse and everywhere. Unless you're in Greenland or somewhere in the Arctic, chances are you've seen an ant.
Termites on the other hand are:
-Not generalists, many species only have a specific food sources they rely on.
-They don't have a widespread range and are much less diverse then ants. ~12,000 ant species vs ~3000 termite species. Not to mention nearly all of them are concentrated in the tropics and subtropics, 1/3rd of all termite diversity is in Africa. North America and Europe have a combined 60 or so species
-Many species are great at not being noticed. On that note a termite is around 100x more quieter then an ant.
-They aren't as resilient as ants.
-They have a much worse reputation. Where as ants are usually portrayed as hard workers, termites are normally known for their ability to screw up wooden structures.
There's a few other factors at play here such as the fact that finding info on termites around the web, especially for certain species let alone genus is pretty hard. The information is there but sparse. Honestly I would consider rearing termites a lot more like growing a culture of some sort, like a springtail culture or a petri-dish. You provide them a medium and they stay there, eat it, expand.