Yes Seals and GBs will aproach Room clearing different as their orientation is different. One is training to fight on ships other on open land etc.Nasty surprise!
From what I have noticed, its the gun movement and the corner clearing technique that differ btw SEAL/DEVGRU and Delta. But in my opinion, the Israeli approach towards corner clearing is the best.
But Seals does not equal DevGru and GB are not Delta. Neither of the formers will be able to keep up with the latters as simple put the speed with which Tier 1 would be way way faster.
That being said. Within their respective capacities each unit member should be able to easily slot into another unit while on deployment so the training/SOP would be similar and no curve balls as such.
From what I have read that even snipers of various SOF units can operate with other units with SOPs being standardized so that there is no confusion in an op in comms