I had something like this on an engine before. In the end I recall that there was a little bit of pan gasket creating a lip which stopped the stick from passing through. You might try rotating the stick 90 degrees and trying again, repeating the process at each 90 degree. I could see how a new stick might have a tip that's bent just a tiny bit different than the original and catches at some point that the old one was able to slide past. If this turns out to be the case, then you can gently bend the tip of the new one until it goes in the way the direction you want.