Hm I kind of agree with that. Doesn't Falcon and Samus have good stage control? and they aren't the best? or maybe their stage control is super butt.
The analogy holds pretty well for the top 7 or so. Past there tier order is more disputed and the correlation is more difficult to justify.
Regardless, going down the 2010 tier list:
Fox: He is very fast and can control every stage, ledge and all, with his huge range on usmash and bair. He can force an approach with lasers and is difficult to punish because of shines and fast recovery.
Falco: DEM LASERS. Also about 80% of the fox stuff.
Jiggs: Has terrifying range and unmatched aerial mobility. Can stop an opponent dead in midair. Controls a circle around itself, but that circle doesn't need to be on the stage at all. Dread Ledge-guards round out the character. Also rest.
Shiek: Fast and possessing decent sized, fast hitboxes. Easy combos and powerful aerials back opponents off or damage them heavily. Ledgeguards effortlessly and safely.
Marth: Reasonably fast with a large grab range. Peerless reach that extends through platforms and off the stage with no deficit.
Peach: Capable of controlling airspace with turnips and large horizontal tracts of airspace with floats. Similar to Jigglypuff in that she takes her portion of the "stage" with her wherever she goes, even if she's off the side.
Falcon: Super fast with effective aerials and small recovery time. Capable of comboing good damage/knockback moves together through pure speed and decent sized hitboxes. Fast enough to chase anyone almost anywhere.
If anything I would say falcon is the best at purely offensive stage control, he just has fewer options to control it defensively than higher tiered characters.
