Your quote from your reference includes:
"… During 2007, CH4 increased by 8.3 ± 0.6 ppb. CH4 mole fractions averaged over polar northern latitudes and the Southern Hemisphere increased more than other zonally averaged regions. In 2008, globally averaged CH4 increased by 4.4 ± 0.6 ppb; the largest increase was in the tropics,
while polar northern latitudes did not increase."
Where you have made last part bold, as if to discredit the idea that CH4 increase is coming from the arctic CH4 bubbling up. This only reflects you poor understanding of global air flow patterns, so I will teach you some, but to keep it simple, will first consider a non-spinning Earth:
Near the equator, at the surface the air is warmed and rises, but it cannot leave a vacuum behind so colder SURFACE AIR FORM REGIONS CLOSER TO THE POLES FLOWS TOWARDS THE EQUATOR.
The warmed air that rose adiabatically cools and flows towards the poles AT HIGH ALTITUDE. During it high altitude trip it is exposed more to harsh UV which can both brake the H to C bonds in CH4 and also of H2O, forming the OH radical, which chemically reacts with the CH4 + OH ----> CH3 +H2O. Thus by the time the air gets to the poles, its methane content has been reduced. It must (and does) sink down towards the surface (to fill the void of the surface air heading towards the equator). That is why there is not much CH4 increase in the arctic air, except just at the surface over the bubbling up CH4.
Now let’s turn on the Earth's spin, going towards the east:
Consider a big chunk of air over Oslo. It is moving east with the Earth's spin as well as moving towards the equator to help balance out the greater heating at the equator than at the poles. That "Oslo air" makes one 360 degree trip in 24 hours., but as the distance around the Earth at Oslo's latitude is only about half that at the Equator it is not going, with tangential speed of 1000mph as that of the equator air is to make no wind with the 1000mph surface speed of the equator. Thus as it moves south, as seen from the surface of the earth it is going too slowly to the east to keep up with the ground below it. This is why the surface "Trade winds" blow from the east to the west in the tropics, which Columbus knew of, exist. Why the hurricanes form near North African and then are carried to the west. Likewise why, especially at high altitude at NYC latitude or further north, the wind comes out of the west towards the East. At very high altitude and latitudes, they are called the "jet stream." Even at the surface the friction drag of the higher altitude air makes it common for NYC's winds to come from the west, etc.
But I don't need to teach about these Corriolis effects to make my main point:
SURFACE ARCTIC AIR HEADS FOR THE EQUATOR AND IS REPLACED BY TROPICAL AIR THAT HAS MADE A HIGH ALTITUDE TRIP WITH UV AND OH RADICAL REMOVING MUCH OF ITS CH4 BEFORE IT SINKS DOWN TO THE LOW ALTITUDES NEAR THE POLE.
If you understood this you would realize your quoted "no increase in CH4 in arctic, but in the tropics" is completely consistent with the a main source of CH4 being the arctic CH4, bubbling up. I.e. does not cast any doubt on this fact.
However, I agree that arctic CH4 is still a small release compared to release, both man-made and natural, in more temperate zones. The thing scary about the arctic release is that it seems to be in a positive feedback system now and there is at least 100 years of the temperate zone release that could come up in a decade.