Actually, I suspect it will work just fine with both of those, as it's worked fine with every 510 threaded carto I've thrown at it since switching from the itaste tanks to 510 cartos.
However, many of them won't fit under the cap, which is probably why they say the won't work. The tidy10 (not to be confused with tidy12) do fit under the cap. However, the only place that seems to have them in-stock at the moment is sterling vapor, and they want an outrageous $6.99 each, while everybody else wants $10-$12 for a 5-pack.