Don Stephan wrote on Aug 22
nd, 2016 at 7:59am:
If a long fence is say to the left of the bandsaw blade, and the left side cut section beyond the blade wants to flex or bend to the left, it pushes against the long fence and tries to move the uncut section of the wood into the blade. If the fence ends at about the back edge of the blade there is nothing for the flexing wood to push against.
Don, I agree with your assessment but that's a different problem and again, two schools of thought.
On Tablesaws,
Many European saws used to have fences that terminate just beyond the blade. While this helps to reduce the binding issue, it also has limitations.
Moat American saw have long fences, beyond the standard 27" table top. While these fences can provide a straighter cut if used properly, due to the longer reference area, there is still the potential to bind. This is one reason why the riving knife was adopted.
While the wood closing up beyond the cut can happen on a bandsaw, it is less likely to bind the blade due to it's small width and lack of teeth on the area that might bind. This makes it less likely to be a safety hazard as I mentioned above.
While I have had the situation happen as you described, (pushing away form the fence into the blade) this is typically isolated to a particular piece of wood, maybe 1 in 100, not something that would make me change my re-saw setup.