You've given us the points opening at full advance, not at the point where you are trying to start the bike. I'd try retiming it to 4 degrees BTDC at full retard. 35 degrees may be great once it’s running but is irrelevant if it won’t start.
The little end is travelling more or less horizontally between 4 degrees before and 4 degrees after TDC so you must find Bottom dead centre using a disc and piston stop then rotate 176 degrees to full retarded firing point. If your ATD has too great a range, full advance timing may mean that you’re trying to start it with the spark after TDC.
That 4 degrees is one huge difference from what I've done previously. Years back I made a piston stop at 39 degrees, and for this go-round I screwed the end bolt so I got 35 degrees. I set it at the 35, open the ears of the ATD wedge them open with hand carved wooded piece (with a wire through it in case I drop it). I then set the points to J-u-s-t opening (can tell with my light connected to center bolt HOLE with center bolt removed..can tell
when the light goes off..the 'shoe' on the cam ring is on the bottom, as it has always been, I have a pencil mark
there..and just as light goes off, I install the ATD ever-so-carefully. I take out the earth brush, install a 5/16 bolt
to hold the armature (finger tight), check point position, screw on the ATD, tap the outer washer at its pins,
then tighten. Then I replace center bolt in points, check to see if the light goes off at 35 degrees..all done on
#1 cylinder. This Lucas has been timed that way time and again. Spark on bench is good. Will get a helper
to see if plugs are firing in-situ, can't kick it and hold the #1 plug at the same time. First time for everything, first
time in over 30 years of installing the Lucas, then B-TH it isn't starting. I dis-connected the kill button wire, thought
it might be shorting out. Fun problem this one.