Big mouthfuls and little mouthfuls are no issue.
There is only one person I have heard from in 30 years of keeping snakes that may have had an issue and it was never confirmed - just suspected. I have fed my snakes in their cages on woody substrate (as have others) for decades. God knows how many snakes and tens of thousands of feedings of ingested wood with not one issue.
If you are concerned about it - don't be. If you are advising that people be concerned about it - stop. It is simply not an issue.