Within reason yes,
A wide drain tube that is sucking in air causing turbulance and counter friction (the bubble wants to go up whilst the water wants to go down) as water passes down it, can have a slower rate of flow than a smaller tube that isnt suffering that effect, and has a constant flow driven and aided by suction as the unimpeded falling water draws following water behind it at a rate allowable by gravitaional force, offset against internal tube wall friction. , but it would be very difficult to come up with a set of rules for a given sized pipe in relation to another and even worse if there are any elbows or joints involved..
With the big pipe, you would need to know the intial in-flow rate, minus the volume of air sucked in over the same time, minus the friction factor of the pipe, its length and fittings present..
all in all not an easy task imo.
even then it wont stay as a constant when allowing for biological buildup inside the pipe over time.
Regards
Simon. (sometimes i can be a real geek)