"There was no overlap between those two circles."

... and there's a reason for that, beyond the clever joke.

The reality is that any project that is both high value AND shovel-ready is already started.  We're already spending tens of billions per year, every year, on infrastructure projects that have been prioritized among the highest value and most urgent projects get the go-ahead while the low-value projects tend to be pushed off.

So by increasing spending in on infrastructure you are, implicitly, stating that we want to do more projects that are NOT of the highest value.  We're spending extra money to do the things that were already somewhat down the list of priorities.

Stimulus spending is, pretty much by definition, spending on things that aren't going to have a high return on investment.