Most closed questions are never edited and the closing overhaul did not change that:
This graph excludes duplicate closures because they rarely need reopening and before February 6, 2013 a banner was edited into the question. Rather than try to sort out those edits, I just excluded duplicates. The image includes deleted questions. The same query excluding deleted questions shows the same relative trends though with somewhat smaller numbers.
By removing closes, we can get a better view of edits and reopen events:
Only the first title or body edit after the close and the first reopen are counted. Self-edits are counted if the editor and the question owner are the same user after the question is closed. (Self-edits could be the second or subsequent edit.) Edit and reopen events occur in that order.
To answer the question, there is a noticeable increase in edits and reopened questions after the "on hold" changes. (Look at July, 2013 to see the increase. You can also see the effect of the change on the first graph.) The increase in edits seems mostly the result of an increase in self-edits. The majority of reopens need an edit first and the best person to make that happen is the asker. The "on hold" changes did not seem to improve the odds that an edited question would be reopened, however.
Finally, here's a version of the graph that includes all questions asked:
Relative to all questions, the "on hold" change had no impact whatsoever.