The ability for any scope of any power range to allow enough light to filter through so as to make it a capable scope at the fringes of daylight are found mainly in three factors. 1.) and most important is the quality of the glass used in making the scope. 2.) is the quality and number of coatings all surfaces receive helping the scope capture certain wavelengths from ambient light 3.) is the scopes objective size versus the magnification available or used.
A scope's ability to pass light is affected by the both the power (used) and objective size. During critical times a scope set on 9X and having a 40mm objective will pass no more light than a scope set at 6X and having a 32mm Objective lens, all else equal. Actually, in this case, the 32mm scope would pass just slightly more light through. Figuring how well a scope will be able to pass how much light at what power is a simple task of dividing the objective size by the magnification. In these two cases, the 40mm objective divided by 9X would equal 5 (we'll call that the light transmission factor), which is very close to the maximum any human eye can use. In the other case the 32mm Objective divided by the magnification of 6X equals approximately 5.3 which is just slightly higher, allowing slightly more light to pass.
People having perfect vision (is there such a thing?) would be able to utilize up to a transmission factor of about 6.0, and any additional light gathered and passed would simply not be usable. One can use a quality low power scope of say 1-4x20 and still have the same light available to their eye as a larger scope. The only thing they will not/do not have is higher magnification. If one does not intend to utilize their scope as binoculars nor shoot at long range in low light, a high power, large sized objective scope is not needed. If one plans on shooting at longer ranges in low light conditions, then a scope with higher magnification needs a larger objective, but still only up to about a transmission factor of about 6.
Again, the more important factors in getting a scope useful for low light situations lies rather with glass quality and coatings rather than simply adding a larger objective. Hope that helps some.