The accuracy of AHP method don't have any mathematical proofs. In my opinion, "the size of n" is not important in that case. Moreover, if you have more alternatives (bigger n) you have to make more comparisons. For n we have to make n(n-1)/2 comparisons.
The question on n deals with the issue of sample size in AHP. According to the majority of published applied AHP, the n has been less than 50; in many cases it's less than 20. The quality of AHP respondents (mostly expert on the researched issue) justifies the small sample size in AHP.