EDIT:
Since people have asked, this is my logic...
The amount of warming depends on the amount of gas (CO2, CH4 or other) in the atmosphere. Stopping all emissions today would not change the huge amounts all ready up there. They will remain there and active for decades-centuries. So we are locked in for a certain amount of warming (2 degrees so far last I checked), it just has not happened yet.
The rate of emissions just controls how much more warming and how much sooner the existing warming will occur.
This is one of the core problems with Human responses to the problem: people think they can wait until it gets 'bad enough' then stop their emissions and things will improve. But they will actually keep getting worse because of the lag between emissions and effects.
As for CO2 vs Methane, Methane is responsible for about 20% of all man made warming (1). So eliminating it completely would still leave 80% of (future) warming... This is because we emit a lot, lot more CO2 than Methane.
The division is really a false one IMHO, because a lot of methane comes from coal mining and oil/gas extraction. So unless you stop using fossil fuels (the number 1 CO2 source) you cannot stop methane emissions...
What all this really comes down to is that people really really want a magic bullet that will make climate change disappear. But just because you really want one doesn't mean it exists...
1: https://www.epa.gov/gmi/importance-methane
Second Edit:
Temperature is like distance
Gas levels is like speed
Gas emission rates is like acceleration.
Edit 2:
Reducing emissions does not make you go backwards. You are still hurting forwards, you are even still accelerating. You're just not accelerating as rapidly...