A 2.5 x 20mm scope has an exit pupil number of 8.0 mm. The human eye, at best, can only process a maximum exit pupil number of 7.0mm....and that is when the eyes are young (normally, less than 40 years of age). After 40, roughly 5.0mm is the usual number. But, a 2.5 x 20mm scope will NOT "come up short" as regards light transmission to the eye. A fixed 4 x 32mm scope will only have an exit pupil of 8.0mm, also. Exit pupil is the TRUE determinant of how much light is transmitted by an optical device. Of course, a 2.5 x 28mm scope would have an exit pupil of 11.2mm, better than the 2.5 x 20....but it would hardly be noticeable.
The only issue with a 2.5 x 20mm scope might be field-of-view. Most 2 x 20mm scopes have a FOV of roughly 15 - 20' @ 100 yards. A 2.5 x 20 might be on the low end of that. At 30 yards, for instance, a scope with a larger objective will have a definite advantage in terms of FOV. However, I have always found that a 20mm objective, combined with low magnification, will certainly be adequate. Plus, with low magnification, it is possible to train oneself to shoot with both eyes open, with very little parallax distortion between the "scope" eye...and the other eye. If that can become the normal mode of use, then FOV of the scope becomes almost a non-issue.
As for longer ranges, I have always preferred magnification at 4x or below....for shooting out to 300 yards. Actually, I would never take a shot on game past 250 yards, myself. But, a 2.5x scope will allow accurate shooting, depending on the eyesight of the shooter, out to at least 250 yards.