If you say the points open for 90° I'm not going to contest that.
To get a clear indication of the lifting period, I used the lamp to assess where the points start to lift, put a dot on the cam there (felt pen), and where the points close (next dot). Now, rather than eyeballed, I 'measured' the angle, and it looks like 107° between the dots is a better estimate. Hence open for 253°. (There is a minor parallax error in this new estimate.)

- Points closed for about 107°.jpg (27.85 KiB) Viewed 1187 times
So, in my case, going forward, the points open at 2.75mm = 21.3° bTDC, so they close at 51.7° = 14.8mm aBDC. So going backward, I get a spark at 51.7° = 14.8mm bBDC, which can still never cause combustion.
If your points lift for 90°, and you set them to lift (in normal rotation) at some 21.5° = 2.8mm bTDC, that would mean in backwards rotation they would lift at 90°-21.5° = 68.5°= 24.1mm bTDC. I don't think that will run; the exhaust port has only just closed (for some 12.5mm) so there'll be insufficient pressure. So with this 90° opening period of the contact breakers, we again need another explanation for why it can run backwards: then the spark you get when the points lift comes too early. So we're back to the bouncing...? Or does the point where these breakers lift depend on the direction of the cam's rotation?
One thing I notice is that your points seem to look quite different from mine: while mine have a clear & narrow cam follower, shaped like a circle around the rotation point. I cannot see that on yours. Could that have any consequence?
And also, you say the cam bears witness marks indicating that a good 3/4 of the cam's rotational surface has been in contact with the cam follower. If the cam follower rests on the cam, the points are lifted, right? So that means the points were lifting for some 270° (=360° x 3/4), which is reasonably close to my 253°, yet quite different from the 90° you said it does now, in your film. So once again: could a higher lift height solve your problem?
I looked into the wiggle seen in the head of my bolt, and removed the bolt, as well as the cam. The wiggle is doubtlessly due to torquing it up with a spanner, which pushes the head a bit in the direction you push; it's a thin & long M7 x 90. The cam has a wider hole, the wiggle of the bolt's head has no consequence for the position of the cam. The cam fits very snugly into the rotor, with very little room to move when seated properly in it's key (Haynes fig. 35.1d); after re-fitting it I had quite the same lift height & timing.