I treat mine no differently than any other pan and do all of the things that I do to any other frying pan. I wash it with soap and the scratchy side of the sponge, I store it with no oil, I cook acidic sauces, I let it soak in the sink, etc...
The seasoning is fine, once I accidentally left it on the burner and it burnt off the seasoning (something that would have destroyed any teflon pan). I just used a little extra oil the next few times.
I haven't used it extensively with an induction burner, but I don't have any complaints....
Cleaning cast iron is easier than cleaning teflon or stainless. However, you'll want something to scrape it with, and a stanless steel pot scrubber.
We use cast iron on our induction range with no problems. The only issues I've heard of involve scratching. The new models don't seem to have that issue (and cast is no scratchier than stainless, etc).
Cast iron is best if it's the workhorse. Not using it regularly degrades the seasoning.
This is the first I’m hearing of this. My understanding is that pans only need to be magnetic to work with induction, in which case cast iron are prime candidates for induction.
Though my cast iron wok heats properly, for almost the same reason!
So they need more work and skill than other pans. In other words: they are in fact less convenient.
Cast iron also has multiple issues when used with induction ranges, which are by far the most efficient/environmental cookers.