Actually the flow rates are more than ALL 2nd stages can handle. The problem with overbreathing a NB piston 1st stage might occur with two divers breathing hard off the first stage at depth with low tank pressures.
The more relevant issue is IP drop and recovery, especially when dealing with unbalanced 2nd stages. A 1st stage that has a big IP drop on inhalation will be sending less pressure to the 2nd stage during inhalation, and that means (theoretically, anyhow) more work to keep an unbalanced 2nd stage open. With a balanced 2nd, the large drop in IP is partially compensated for with a drop in pressure in the balance chamber, so it takes less pressure to keep air flowing through the stage.
My MK2 has a pretty decently low IP drop on inhalation. If I dive with a high performance, well tuned 2nd stage on both the MK2 and my highest flow 1st (MK15) I can't tell any difference. But, if I put a R190 (lower performing, unbalanced 2nd) on each, I can tell a difference.
I can't comment on the oceanic, but I have read in the Vance Harlow book that the MK2 has better IP drop and recovery than some of the other NB piston regs of a similar design. That would not surprise me, although if the oceanic is a fairly new reg, it's possible that it wasn't around when the Harlow book was written.