But how ignition timing would have anything to do with it when you switch it off as certainly when switched off there will be no sparks with 360 that has renix unit as there is no brain on to tell when to shoot?
Starting engine by reversing and lifting clutch up while on 1st gear is certainly possible in 1978 Ford that parents had at 80's and I'm sure it was 4stroke.
There needs to be few conditions that meet to get that running after switching off, mine did it too. Most importantly there must be air leak, with air leak most likely carb is set differently, so that idle cutoff solenoid has no longer much effect, also some carbon buildup in engine is usually needed. Petrol is self igniting because of heat and as there is air leak there is enough air to make it burn too.
When there is air leak, carb is usually set so that it has richer mixture, which allows enough rich mixture to be sucked from the intake.
Also if idle cutoff solenoid is not original condition and working properly it causes issue too or at least help making it.
My carb base was badly warped, there was no good seal between carb and intake, so it did cause lot of odd things, carb mounting screws can be tightened to only 2Nm or base will warp, even with 360, so that can cause it, also throttle butterfly shaft can be caused wear to axle housing causing leak, yet intake gasket can be bad or even intake manifold to head surface warped, but I guess that is rare.
Most of this is for B200K solex carb version of 360 of course.
Cheap and easy solution is to put 5th and lift the clutch while standing on brake
