On the one hand, if you plug in a power adapter that doesn't provide enough power to most anything, the powered device will malfunction.
On the other hand, it's often the case with high-powered devices that power adapters that won't provide enough power simply won't fit in the receptacles of devices that need more power.
(On the OTHER other hand, it's very rare [0] that a power adapter will ship with a cable that isn't rated for the load that the adapter is rated for.)
[0] Well, unless you're buying drop-shipped trash from Amazon... but in that case, the whole damn assembly is probably a serious fire and/or electrocution hazard.
Pretty useless standard if the specs can vary so much