In my old cab I had a 3/4" MDF control panel with my sticks installed underneath with 4 coarse wood screws each. 12+ years later they still haven't moved. So, into plywood you will likely be just fine.
The one thing that might make it an issue later, is if you want to swap out or repair your sticks, and have to remove and re-install them. A couple times and the holes might lose a little hold. However, Id say if that happened, at that point you easily could just widen the holes, and install the inserts at that point.
Cheers.