Ok, so far I finally arrived at the point of using 1 layer of tape. Even 3 layers of tape with normal X stroke couldn't accomplish the bevel on the whole length. However the length of bevel which I produced with 3 layers was longer than before But seeing that after about 30 strokes it was not increasing in size, I switched to slight rolling x technique (especially pronounced on that warped side) and I tell you that was a good move! Doing so the bevel began forming on the whole size of the blade, even the most distant parts were touched by the stroke and the marker on the new (smaller) bevel finally disapeared after a few strokes. Again, with marker I repeat the stroke until it felt like quite sharp on all points of the blade (TNT went smooth imho). Then I switched to 1 layer. This time I took me longer to make the marker disappear, obviously angle was more acute with 1 layer so at first the steel was being removed from slightly above the very edge and then, step by step the new bevel formed itself until all marker was gone. Again, I repeated the above until the marker disppeared a few times. Now I am working to make it sharp at this 1K level
Maybe it's too early to go into 4K.
Well, it's passing TNT on the whole length, HHT fail, trying TPT.... DE which I used about a week ago is gliding across my thumble pad almost without doing any nicks (already dull I guess) therefore I'll check with fresh one to feel the difference. BUT with the blade I am honing I am feeling a slight sinking into the skin when I position the blade under angle slightly more acute then normal perpendicular. If I do mid-air shaving test on the arm or leg (with dry hair, quite dense and thick), then one slow stroke on the whole length of the limb produces a few chopped off pieces of hair at most.

Should I give it a few more dozen of strokes and expect more sharpness at this stage,
or do many strokes, enough until it grabs almost all hair in mid-air
or is it safe to move to 4K now?

Magus