An isobaric enclosure can use a push-pull design:
vue-audiotechnik.com
I know you know this, so I'm mostly doing this for the plebs out there.
In any isobaric design, the drivers are coupled to each other by that small chamber I mentioned in the earlier post (as small as possible without letting the Drivers touch, especially when excursed). Yes, you can reverse a driver and have magnet to magnet or cone to cone, but for any such design, the two drivers effectively operate as one. In an isobaric build Vas is halved and both drivers are treated as only 1 single Driver, otherwise.
In the Push-pull design of Perlisten or M&k, it is effectively a dual driver design: each Driver is exposed to the outside of the cabinet. Vas is doubled.
Regardless of how you set up the drivers in an isobaric design, one Driver still only sees the inside of the cabinet. In a Push-Pull a la Perlisten and M&K, both Drivers are exposed to open air.
Most of the texts (Alden, Dickinson...) say the only benefit of any Isobaric build is the reduction in Vas which is likely not worth the cost of 2 Drivers. The Non-isobaric Push Pull (Perlisten and M&K) can offer lower distortion and the benefit of Dual Drivers if connected in Parallel.
All of this is to say, Push-Pull is not necessarily isobaric. Isobaric can be Push Pull... But they each have their own specific rules and they are not the same.