I had to go IN to the BabyPips course and find this section. After several attempts at reading it - I don't know what they're trying to convey here either.
However, I did find something of value there. If price slowly comes up to the trendline and pushes through it - it's more likely to be a fake out. Hence a better fading opportunity. It should be obvious that a strong candle(s) pushing through is more likely to be a 'true' break-out, but I've never traded a fake out so it's not something that i've given thought.
I don't think that this is something that I would worry about too much if I were you. I mean, there's lots of good opportunities to simply trade from the top of the channel (or bottom - depending on trend direction), and then you aren't risking trading it like its a fake out and then having it be a real breakout - and trust me, those explode. You don't want to be on the wrong side of that action.
So, for me - I trade within the channel. Top to bottom, or bottom to top. OR I trade a solid break-out opportunity, strong candles, popping through and the candle "closing" on the outside of the channel. Works best on higher time frames.
Good luck in your trading.