Unless your eye's entrance pupil is 5.25mm (i.e very very unlikely for birding in daylight ... even well into dusk the average pupil is 4mm). The extra light never makes it into your eye so you pupil effectively stops down the bin's objective.
...An oversized exit pupil for a birder adds to viewing comfort not brightness.
...For birders transmission through the bin (i.e. good AR and mirror coatings or even TIR porro prisms) matters more than exit pupil size to brightness.
This is all well and true, except that it largely presumes that the birding will be done only during the main portion of the day when it is bright and that the weather will always be good.
Some very good birding can be done in early morning and late evening. As an extreme example, owling generally must be done after (or at least very near) dark. Also, find yourself under a heavy overhead canopy, or heavily overcast skies (or worse yet, both) and that extra exit pupil can indeed result in greater levels of visible brightness - even at mid-day.
Probably not the biggest concern for the majority of birders but, that doesn't mean it doesn't play a factor for many.


