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And grooves in your tyres mean less rubber on the road, so less traction.
Channels (or voids as I think they're called by engineers) are to send water off the contact patch. No bicycle tyre is in danger of aquaplaning.
Those px tyres probably are crap though. I've always regretted bargain tyre buys.
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I've only had a quick look, but I can't find where they say that: link plz.
I'm happy to be corrected, but I cannot understand how less rubber in contact with the road, can increase traction.
But as you say, bicycle tyres are neither wide enough nor do you travel fast enough to aquaplane, so channels/voids/grooves serve no purpose (on road tyres, off-road knobblies are a separate case).
Bearing in mind that those two, small contact patches are all that's keeping you and your bike from sliding down the road/under a car/off a cliff, tyres are the last place I'd look to skimp.
Sounds like bullshit: even at 28mm they're not wide enough to aquaplane, even if you were going downhill, with a following wind and spinning out 54x11.
And grooves in your tyres mean less rubber on the road, so less traction.