Is "falls on" the right term in this sentence?

Is "falls on" the right term in this sentence? Should it be "falls to"? I think it sounds incorrect to me — success doesn’t "fall on" some action, right? — but I can't put my finger on what should be done to salvage the sentence.

(I know I can change it to "... depends on executives finding a path ..." but I wanted to try to work with the original first.)

The success of these strategies often falls on executives to find a path to profitability.

Solution 1:

The problem with your sentence is that it is saying the success is what falls on the executives, but what it should say somehow is that finding the path falls on them.

It could be reorganized like:

The success of these strategies depends on finding a path to profitability, which often falls on executives.

An entirely different option would be chaning falls to fails. In that case, success could be removed entirely:

These strategies often fail if executives cannot find a path to profitability.