What happens when the OD pedals are in bypass mode? Do you still lose the chopping action?
Edit:
Are you using the same power supply (i.e., with the same power ground) for your TT and your other pedals? If so, try running the TT with a 9V battery and the other pedals with the power supply and see what happens.
Ok, I've got a couple of drawings which hopefully represent most of what you've got.
The TT first:

The fuzz first:

If the TT's LDR is not grounded to the same "ground" as the main signal, this might be why it's not chopping when it's placed behind another effect. But if that's the case, how is the signal ground making it to the amp? The only way that I can see this happening is if the power ground is providing the path through the effects. But if
thats true, then it wouldn't chop at all when it's in the lead position... But...

The drawings are probably not exactly what you have, but maybe they'll help if we make them the same as your conditions.