For french doors I would personally put them on the wall above the doors so the doors can be fully accessible when the blinds are raised. Into the purple area is fine if the stack of the blinds is minimal and will not interfere with going through the doors when they are open.

Another option for doors is Hunter Douglas Vertiglide shades. They are vertical and open to the side. You can have them open to one side or split. You can probably order them in brown to blend into your stained wood trim.

Flush with the door jam.

Mount it on the door, not the jamb.

Agree with install in smallest frame.

I think you meant to say "cellular" blinds, instead of "modular" . These blinds have cells, or pockets that trap air and provide some defense against both heat and cold, thus they are cellular in form.

I have them and I love them!

I think I would mount to each door so there's no obstacle above. There are many versions of black-out shades and roller shades to consider for this. Also, window film might be something to consider.

Our bottom-up top-down shades are only 1 inch in overall depth and do install to a shallow depth of only 1/2 inch. Install them close to your glass so you have a full inside mount and clean installation.

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