[shilala]

If I were putting a bunch of wet sticks (70%RH) in a desktop that had been maintained at 60ish RH, I'd definately want to bring the humidor back down slowly, slow being a month or so. I find that if I dry them real quick that they get rigor mortis, then they are super hard to bring back to the land of the living.
If they're the same RH as your humi, I'd say "smoke away".

If you want to check your sticks that just arrived, you can put them in a gallon ziplock with your hygrometer overnight (or longer) to check at what RH they were stored. Try to squeeze out as much air from the bag as possible so that there is airflow, but not a lot of air. That'd just make the test take longer.