Interesting - VERY different approaches...
I would never recommend the downloop, nor going downwind
Like Starsky, head up REALLY high before you carve, but keep the kite relatively low, not at the water but a bit under 45 degree.
Unlike Starsky I will NOT follow the kite, not send it early - but fly it up and around to the other side in an arc while I turn the board, thus keeping the lines tight because the kite is flown up (and around).
And when heading close to the other tack, the kite is now flown down again, thus accelerating and giving you pull so you keep foiling on the new tack
If you fly the kite too low before carving, it will lose its power (in light wind), it might work when learning and in more wind.
If you send the kite first and follow it around, you end up just like if you downloop, namely that you make an okay turn, but the kite reaches the other side before you have completed the turn and you lose ALL power
With a downloop even worse, as you will most likely send it in the drink, because it has no power and if you make just a tad too wide an arc, you can not turn/save the kite and it goes down for sure
With a normal "up" turn, the worst that can happen is you get slack lines if too wide arc, but usually you can save the kite this way
This works for me - the downloop works great in really low wind too, but your timing has to be really opposite and different and IMO way more difficult when new (but works great later), as you have to turn the board and carve around BEFORE you downloop the kite, otherwise you are fu....
In low winds that is - but for beginners the chance for making a succesful full carve is exactly the same problems that we experienced suffer in marginal winds.
The trick is the kite timing, and carving tight which is difficult when learning so you need more wind for success, but it will come, just carry on
Eventhough I can see you might be confused, now we have suggested at least 4 VERY different ways of doing it we all think is the easiest/best ha haa - sorry
At least you can now try'em all and see what works for you, right ?