[The underwater sources are likely to increase in number and provide more emissions with further warming. However, the pycnocline, increased stratification, anaerobic/aerobic oxidation, and more productive phytoplankton are likely to result in more of a steady feedback than a huge pulse
The pycnocline/stratification means nothing to methane bubbles.
In really deep waters the methane gets dissolved but in shallow arctic waters the bigger bubbles go straight up.
There is no steady feedback there but the important question is how much can come out and what is actually happening inside. It´s a huge pile of ice and frozen and not so frozen organic matter combining with whatever bacteria and viri can do down there.
We do not actually know how big the problem is and it will grow with however much we will grow our carbon pulse.
This is incorrect. The bubbles are for the most part dissolved/oxidized in the water column, even in the shallow Arctic waters. The atmospheric CH4 levels have not been affected by Siberian Shelf emissions, as a number of exhaustive studies have shown