No, the crab, then kick and wing down with the kick technique is the better one. I believe it is the mostly taught (and probably best) one, too.
I was taught to keep the wings level and just rely on the timing of the kick a nanosecond before touchdown to align the a/c with the runway. (Which is fine if you always know exactly when touchdown is imminent; it only takes a gust to ruin the landing.)
The "other" historical way was sideslipping all the way down final, staying aligned with the runway from a long way out.
The current method is a combination of those two. The timing of when to kick it straight doesn't need to be precise. I found it seemed to be best when done at the same time as the round-out was commenced, or maybe just prior.
If you're busy during touchdown, that is not the time to be faffing around with flaps.
Don't worry, it will come with practice. You'll get to relish it. Maybe even love it. Few things are as rewarding as a crosswind landing done well in adverse conditions. And some days you can be on top of your game and just the way the wind gusts/swings, end up with a thumper.