That is almost the way I store mine, except I've always left the bushing on them. I'm not a Gunsmith. I don't have very many reamers and don't use them, I give them to whoever is doing the work to use. I always spray them really well with something to clean and lube them, put them in their tubes and lay them in my toolbox.
The reason I asked the question is because I have new unused reamer, I've had it for a few years, that has a stuck bushing. My other reamers, including a resize reamer mate to the one with the stuck bushing, are fine. I guess I'll not leave the bushings on them in the future.
I have one reamer, that when I got it back from the guy who used it, had been dipped in a soft plastic like material. This soft coating will slide off and on the reamer easily, stays oily, and will still fit into the original plastic tube. This appears to me to be a better method. I was curious if anyone used this stuff.