The overdrive changed a great deal in 1973, from the earlier A-type to the J-type. Although the overall operation is similar, the J-type is very different internally (ISTR one of the bearings is the same, but everything else is different). The mountings, speedo drive, mainshaft etc. all changed at that time as well. The J-type uses a much longer adapter, so its body sits much farther back in the car (hence the cuts to the frame to mount a J-type in an earlier TR6).
But even installing an A-type is not as easy as just bolting it to the transmission. The mainshaft still has to be changed from the long non-OD version (which runs all the way through to the rear flange) to the short OD version (which ends at the overdrive gears), and the countershaft has to come out in order to remove the mainshaft.
And you still need the lockout switches (two of them for an A-type) on the top cover. Backing up with overdrive actually engaged does some serious damage to the unit, so the lockout switches are essential to prevent it from being engaged in reverse.