No. By the time Switch starts meeting demand, DS, Wii, GBA, and PS4 will be into the prime of their sales.
Nintendo is still projecting 10m shipped for the first full year after launch. Even if they end up doing a few million more, that wouldn't be enough to rise up the list. In that same period, PS4 shipped ~15m, GBA ~17m, and Wii ~18m. The DS did ~11.5m, so maybe it could be passed very briefly...but it would then race ahead again. Even the 3DS shipped over 14m, so it's going to pass Switch too, unless the new machine beats Nintendo's projections by multiple millions. (It'd probably fall back behind Switch later, though.)
Note that the 10m forecast already requires doubling of the current pace during the holidays. So millions more than that would require a longer period of doubled production, or short periods of tripling. As I said before, Xbox One is the only bar that Switch is liable to cross.
If the supply constraint is competition for NAND components, they couldn't sell differently during holidays. Retailer demand wouldn't matter, just as it doesn't matter now when it also clearly outstrips supply. You're positing an imaginary world.
But this comparison is superfluous anyway. I'm not saying that holidays don't provide any incremental increase. I'm just saying the extra units fade to background noise very rapidly; it's the continuing months following that truly determine the trajectory. GBA shows that spring launches can be just as big as holiday ones. WiiU shows that pretty big launches can be followed by abject failure.