Sounds like you are on the right track. The main thing is to check for joint tightness before gluing.
Sounds like you are on the right track. The main thing is to check for joint tightness before gluing.
I hope your fix works. If it turns out that the oil and wax do cause the repair to come out, here's an option.
Cut a kerf straight down into the gap in the board using an oscillating multi tool, and glue in a veneer shim sized to fit the kerf.