Arial Black
Adventurer
Point buy systems are fair, but don't make the assumption that a point-buy system is equitable for the players. You can look at the character build forums and find point buy character recipes that are far more "powerful" than others. This gives a playing advantage to players that are either very experienced or players that copy recipes. You could carry this further and say: the only way to make point-buy systems equitable, is to only follow set recipes. If you have done that, then why not just give players 3-4 choices of stats for each character class. For beginning players, this may be the way to go.
It is arguable if point-buy recipe characters help or hurt role-play. For long-time gamers, I do not think it helps. Experienced players should probably have a handycap when making characters though.
It should be noted that neither point-buy nor array are 'fair and equitable' to those who want to play a MAD concept versus those who want to play a SAD concept.
If you want to play, say, a charismatic wizard then you can still be as good a wizard as any other in a game that requires point-buy. But if you want to play a charismatic barbarian then you will be a worse barbarian, because you have to take points away from Str/Dex/Con, while the wizard didn't have to take anything away from Int.
And yet, 'charismatic wizard' and 'charismatic barbarian' are equally valid concepts. Why is point-buy so unfair to one concept and not the other, when both concepts are equal?
The 'fairness' of point-buy, when you examine the characters that result from that method, is illusory. Just like some people claim that rolling is 'fair' because everyone starts with the same number of dice while the detractors say that the results of rolling are 'unfair', some people are claiming that point-buy is 'fair' because everyone starts with the same number of points while disregarding the fact that point-buy discriminates against some classes and concepts, and is 'unfair' in that regard.
For both methods, the starting conditions are 'fair' but the results can be 'unfair'. The problem lies with anyone who tries to claim that either method's results are fair, because neither method ensures that the results are fair.