I actually have another variation on this — when it is followed by the phrase: NOT to (do it, say it, enact, etc.) For example:
"It made too much sense NOT to do."
So this follows an initial leaning or presumption NOT to do something, and it expresses that the decision has been reconsidered in light of the fact that it makes "too much sense NOT TO DO".
You might see it in this context:
"We initially hated Bob's idea because he was such a jerk in the way he presented it, but after further consideration, we had to admit that it made too much sense not to do."