After a lot of string jobs with some very drastic tension differentials and a variety of string patterns, head sizes, and string-bed types: I have found that spin is mostly produced using the mains because of the ergonomics of our swing. Racquets like those from Power Angle were made to optimize spin potential using the natural ergonomics of our swing. Crosses don't generate nearly as much spin through the ergonomics of our swing because most strokes don’t engage the crosses at a point where there is potential for their movement and the subsequent snap-back.
When considering the more traditional string beds; for example 16x18, 18x20, and 16x19; there are more crosses than there are mains, but don’t let this fool you. About the same amount of string for the crosses goes into the racquet for the mains. Crosses primarily function in tempering the mains so that they cannot trampoline the ball nearly as much as they could if they were strung in, and played with, without the crosses (Please don’t start the old witch hunt routine where someone feels the need to point out that mains alone could warp the frame, I know they will, that’s why no one does that). Generally for these string types; I would recommend creating a sort of differential in the mains and crosses, where your mains are strung higher. In a midsize frame, the best tension is anywhere between 48-54 lbs. When you have a midplus or oversize head; its best to string in the upper 50’s or even lower 60’s depending on your fitness and strength. The crosses are to be strung 3-5 lbs lower, this lower tension will allow the mains to move and snapback more freely, naturally increasing the spin potential in any string bed.
For the newer spin friendly frames; for example: 18x16, 16x15, 16x16, etc. Higher tensions are a must (Tensions less than 57lbs mean you’re asking for it), and the general need for differentials between mains and crosses is all but nullified, and you can string both mains and crosses at the same tension because there are less cross strings that can temper your mains. But even in these frames the understood laws of tennis apply. Mains generate spin more than crosses. Why? Because you’re still using the exact same swing.
The mains are the bigger deal here when it comes to spin. Tensions higher than what are recommended will result in the mains being more resistant to movement, and tensions lower that what are recommended will result in the mains being less resistant, but beyond some threshold; less able to snap-back after being moved. Keep in mind that this is considering you have a “normal” swing. If you play soup kitchen tennis and your swings more closely resemble Ladling, then your best bet is do the exact opposite on the more traditional string patterns.