It makes sense to me, this is why:
I think (based on my God-like intelligence and not due to credentials) that these fan leaves help the plant to grow: thus the plant grows tall, many branches, many leaves, thanks to them.
But then the plant stops growing and it just starts flowering and so the buds have small leaves connected to them, this tells me that this small leaves are the ones feeding the buds.
So if a big fan leave is blocking them, then the buds don't get much sun and don't grow much due to lack of light while the fan leaves are feeding the rest of the plant which is not growing anymore.
Thus cutting some of these fan leaves could help the buds increase their size, also I notice some of these fan leaves are naturally yellowing and dying while the small leaves on buds remain green which to me is a sign that fan leaves have achieved their purpose and are done.