Unless the Stokes has significantly better coatings, mirror surfaces, etc. these two binoculars, with their almost identical exit pupils (4.0mm for the Browning and 4.2mm for the Stokes) will be very similar - practically identical - in brightness.
I rather suspect the DLS do have a better coatings (especially the silver mirror coating). The 8x42 I looked through was quite bright (not the brightest bin but rather good). The Browning are similar to Legend/SP brightness i.e. good but perhaps a bit less bright than the DLS.
To see significant changes in brightness you would have to have significant changes in exit pupil. For example, an 8x42 (e.p of 5.25mm) would be quite a lot brighter than the 8x32. So too, a 10x50 (e.p of 5.0mm), etc.
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.
To maximze the light in this sense you need to match the exit pupil of the bin to the entrance pupil of the eye. But birders never do that because it makes the bin more tricky to use.
An oversized exit pupil for a birder adds to viewing comfort not brightness. It make it easier to align the bin with the eyes.
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 different than bin astronomers who have a large entrace pupil at night so can make the most the light at low magnification but even then in "not dark" (sub)urban areas you can't use more than a 5mm pupil (so 10x50 becomes more popular than 7x50 in those areas).