No variant of Channex is stronger against Desert than Wasteland, at worst they perform equally, but there are several variations Desert is the better choice against.
I have no idea what Channex variants you're looking at, because just about all the ones I've seen or got in mind laugh off Desert. Channex/Channex/StorageLand and Channex/Storageland/Removal are top variants. There's also versions that DON'T try to hardcast the Channex and some of those are land-reliant as well (like Channex/Land/Chronomaton). All of these would be far more impacted by Wasteland than Desert.
Desert is a solid option because it foils Foil, but it's a loser against Channex.
Every time I look at Inkmoth decks it frustrates me - they seem bound to win on turn 6 but no sooner. With a third land booster like Pendelhaven or Blinkmoth I can get them to go 0-1-2-3-3-3 or 0-0-3-3-3-3 but either way it's a sixth turn kill, not a fifth.
Like I said, depends on your wincon. 2xChannex storage land ties with Wasteland Lotus Threat, it beats Desert. 2X Channex Forge ties Desert, Wasteland loses.
Storage removal/Inkmoth are the only ones Wastleland has an "edge" but if your threat is removal resistant (or ignores removal), you don't care. Mayor makes a token before it can get pathed, Nemesis couldnt care less if you have Path and neither could Crusader. In these cases, Desert ties to Foil, so it's a better choice.
Finally we have Channex, 2xForge...which again doesn't really matter so you might as well sneak a few points from Foil.
As for the land reliant versions...why would the play a non-basic with Chrono in a format where Wasteland is legal?
So we look at all the other decks discussed here and guess what? Wastleland over Desert doesnt matter either because your deck is faster even with Cathedral on the board. So again...free points vs. Foil.