I am pretty much where you are on this, except (1) I am older, by a lot, and (2) I am not so much focussed on speed as on enjoying the learning process.
I started F2L last April and then, very quickly, once I became aware of the two basic simple cases, could solve anything that came up without learning any algs. You all seem to call this "intuitive", but really, for me, it is at this stage "logical and analytic", my mind is fully involved and I am sort of solving every new position all over again, but with increasing ease, increasing speed, and without really trying to remember anything other than general principles (and formulating these principles as I go on). By the time it becomes "intuitive", muscle-memory, etc., some of the fun of solving it may actually be gone.
There's a price of course. If I'm focussing on the current sequence, then there is zero look-ahead. If the goal is to get faster, then I guess I wiil have to categorize all the cases, recognize them quickly and apply my by-then "intuitive" moves.
I'm just in no rush to move on to that stage.
I lie! The Fredericksburg Open is approaching.