YES!
Reducing taxi links from both sides of hold short node to ~10cm works!
So, to summarize - what to do to have such a sandy AFCAD made scenery work properly for AI:
1. There need to be a taxi link parallel to runway link.
2. There SHOULD be hold short nodes, outside of runway.
3. Links to hold short nodes should be very thin.
So, there's magic involved as everything works like a charm below see level (just MRAI is shaking up to level 0).
I can make some other working sandy strips now!
BTW - what I'm doing there?
Well, there is a personal mini-project to suplement AI Israeli Traffic Packs by Dmitry Gutenberg, which cover dozens of real Israeli GA but ... lack flightplans (+ there is a need to supply a few AI ready AFCADs).
Flightplans are already/ will be generated using a current secret weapon ...
I hope to release all that stuff to Avsim.
Thanks guys for all your tips!