That is seems to be possible, but it is complex question of little concern to how ice ages ENDS.... What could be a potentially greater impact is that as ice increases, sea level falls. There is a great deal of methane hydrate which should sea level fall enough would be destabilized. Though methane has a shorter half life in the atmosphere it is a far more significant GHG than CO2 and degrades to CO2.
At end of an ice age, when the ice starts to melt a lot of 0 C water is flowing into the ocean and that will certainly have the presure on the hydrates increase. That stabalize the marginally stable hydrates. If they were not already covered by the 4C water (waters densest state and oceans should have a lot of it on the bottom, and perhaps nearly up to the top where even colder water may be far from the equator,) when the ice age starts to end, then some may have more cooling down to 4C which also stabalizes them.
Thus I would think the opposite of what you are suggesting happens at the end of an ice age - I.e. some of hydrates that were on the verge of decomposition, become solidly stable if we are still speaking about the end of an ice age. I.e. CH4 does not accelerate the ending of and ice age, IMHO.
At the start of an ice age with ocean level dropping, there would be CH4 release with the pressure on some marginal hydrates falling, but then the effect would be to REDUCE the rate of Earth´s cooling. I am not 100% sure of my facts, but think it is true that ice ages form / grow much more slowly than they end. Very consistent with the sudden volcanic release of GHGs and the reduction in rate of cooling some CH4 release at start would make.
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