For some definition of "push you out".

The US inflicted an order of magnitude more casualties than the ~60k deaths they suffered in Vietnam. The US has proven its willingness to withstand much greater losses: ~300k deaths in WWII, ~200k deaths in its civil war.

They did a staggering amount of damage but were unable to secure a decisive military victory. So the war started to drag on, the casualties started to mount, costs started to pile up and the unpopularity of the war applied political pressure.

Writing this off as a simple "loss" doesn't seem to accurately describe what happened. I think they could have won, but the cost was too high so they pulled out. Engagement must not have been important enough to warrant another 200k-300k deaths.

Doesn't feel like the same loss you suffer when you fully commit to the task only to end up getting routed.