Earlier quoted context omitted.
If you are constantly pumping CH4 into the atmosphere over the long-term then you have a long-term climate impact as a result. This is without even taking into account whether the increased heating from the "short-term" impact of CH4 over a few decades causes us to hit tipping points sooner than otherwise, or that in the best case scenario we may have been able to avoid hitting at all.
No that’s not how physics works. If you keep pumping a constant amount of CH4 into the atmosphere, it keeps degrading into CO2, which is transformed into grass, which is transformed into cows. It’s a cycle. There is no long-term impact.
If you are performing this action at a rate that keeps replenishing the CH4 as quickly as it is degrading, let alone faster than it's degrading and subsequently increasing the amount of CH4 in the atmosphere, the amount of CH4 in the atmosphere is constantly being kept higher than it would be were you not performing this action, for as long a term as you continue to perform it. So you've now ended up with a planet that is constantly experiencing more warming than you would have otherwise.
If the permafrost requires 1,000 units of warming to melt and release its stores of CO2 and CH4, then this further makes the difference between triggering this tipping point or not.
Am I misunderstanding something?