I like the suggestion and have already proposed something very similar about carriers, but apparently no one wants anyone to have a resupply platform, even if it is easily destructible by the right ships.
Sometimes I am not fond of the rock-paper-scissors concept, but I think that it is not overly prominent in your example. Namely, a destroyer still has a chance against a cruiser, although if the pilots are close by skill, the cruiser will almost always win.