I finally had a chance to try my first round of 'fixes' on the track yesterday and thought it might be good to update this post with the solution to my problem for future reference.
I replaced the in-tank fuel filter (the old one was in horrible condition, had holes in the mesh, so don't know how it could have stopped fuel from flowing) and replaced the O-ring on the fuel cap (cap leaked fuel with a full tank in the past) - apparently, problem solved. The same track corner than was causing me issues last year could now be taken without engine cut-out with fuel level all the way down to low fuel light coming on.
Granted, the weather was very cold (35 degrees) compared to last year when this issue came to light, but there could be other issues that will come out when the temperature increases, but for now, problem solved. Fingers crossed.
I also replaced the in-tank fuel level sender, but that should not have anything to do with the original problem.
