They most definitely are. Noticeably. A 50mm objective will gather more light than a 42mm objective. With power being a distant second factor.
It's just physics and no brand will override this. That is, an older 10x50 Leica Trinovid/Ultravid will outperform the latest-greatest Swarovski that's only 42mm. No coatings can be modified to overcome the laws of physics. Move to the 56mm and it's a different weight category, it will outpunch everything else.
I don't think I agree. It's the exit pupil that counts, isn't it? The exit pupil of the 8x42 is 5.25 mm versus 5mm of the 10x50. Light gathering will be greater with the 8x42. Maybe a 10x50 gathers more light, but it won't reach my eye because of the smaller exit pupil.
In reality I also see hardly any difference in brightness. Maybe the 8x42 is just a tough brighter. However, the 10x50 shows more details. I think that is the only advance besides the slightly larger AFOV.
I have decided to keep the SLC 8x42, because I see the advantage of less magnification in wooded areas. The DOF is larger, so less focusing and that is nice in twilight. Also more of the view is sharp and that contributes to the feeling that the view is brighter al well I think.
For open areas and far away the EL 10x50 is nicer.
However, it's at daylight the EL 10x50 really is a joy to use. The large exit pupil is really comfortable. I can move my eyes around and don't get blackouts. The view in the centre is also really sharp, also looking far far way (compared with my NL 10x32 even a bit sharper).
So I think it is quite true. The SLC is made mainly for hunters. It has something special in darker conditions. Maybe the contrast is higher as well. The colours of the EL are just a bit more vivid/nicer, so the EL is mainly for birdwatchers.
The NL 10x32 has quite a lot of glare. The EL 10x50 just a little and even less than the SLC. Probably also an advantage of a bigger exit pupil.