Hi Robert,
Thank you for you comments.
I understand that the XXCross is a step of your method. By lucky, I mean (U' y' R' U R
// oWG) is a little lucky, isn't it ? Or maybe not, if you don't care about the colors.
And some ZZLL are 8 moves long. But that's not very important.
In the F4L (in your previous post), I see 3 cube rotations. I think you realize this is evil and intolerable for a ZZ user !

You might be surprised but for a 5x5 or 6x6 solve, except for the x-axis, I perform only 2 cube rotations.
Also, on average, ZZF2L requires a little less moves than (CFOP) F2L, plus the advantage of being <R,U,L>, but you know that.
Some precision about my 'method':
Usually, I don't do a complete cross. I make the white tredges and store them on the left with the correct orientation. Blue and Green are placed opposite to each other and form the line. Red and orange are also on the left, in correct relative position or not, it doesn't matter. No big difference with your method.
Then, I make the yellow tredges and store them on the right with random orientation. I orient them while forming the last 4 tredges. This is present in this solve.
An example : x2 3l' (U'
R2 U F R F') 2r
// BO
When the last 4 tredges are made, I do :
(4r2') U' 4r2' R2
// = (U' M2)
This put the 4 E-edge on top. It's easy to see which groups of tredges are badly oriented and to fix the orientation.
So, what you might see is that I orient only 4 tredges but in fact I orient them all during the solve.
Then, after (z') to place the cube in the final orientation, the DL tredge is always in DR or FR position, and the left tredges are always on the left in various positions. So, the look ahead and the transition to the left block is fast and very easy. There's no: hum… and now where are the pieces ?
Please continue to comment the method. Thank you.