Are E34 Touring rear doors the same as those on a saloon/sedan?

I've found some for sale in the right colour to replace the rusty and dented ones on my 1995 525i saloon/sedan, but want to be sure they'll fit before I buy.

PS, mileage now at 261k with original clutch. Only engine repair it's ever needed (since I bought it at 82k) was a water pump at 250k. Amazing car, hence the desire to carry out uneconomical repairs to the body rather than buy a smarter car.

Brilliant forum by the way.