That's more or less what I do. In my case, I sort of have to; most of mine comes out so dirty that there is actual mold on the outermost skin, mold that I know from experience will penetrate the rest of the bulb if given a chance.
I'd did pretty well this year on garlic (well, well for me) only about a dozen plants actually made it through as opposed to the closer to two dozen last year. However last year only two of the planted cloves actually broke into actual heads, and the bigger of those was only about the size of a cocktail olive. AND that one took about six years of being a round to get that far. In comparison more than half of the plants made multi clove heads, and they all did it in one year (the rounds from last year were really tiny, and none of them had enough juice to get through the winter, so all of this year's crop is clearly from the fresh material I started). most of which is about the size of a walnut with 2-4 cloves per head (in other words more or less what the parents looked like). And only two subsequently rotted, one of which was more or less doomed from when I pulled it (it has basically split so deep the clove was in the soil, and already molding.) Looks like doing as I did (sticking the cloves and their pot in the garage over the winter) works well.