I don't think that would be a good idea. Every time you wanted to use a Limit, you would lose one of your rare spells. Spells like Ultima, Triple, Full-Life, Meteor, etc. are already hard enough to get, I would hate having to use one of those every time I used a Limit. Even if it would be stronger. It's already easy enough to strengthen your Limits, just Junction Ultima or some other strong magic to your Strength stat. That boosts EVERY physical attack, and it will never decrease in strength unless you use it, which I never would.

In FF8 I rarely ever use magic from my stock. The only magic that I could ever imagine using is Meltdown, and Doomtrain uses that, and with a high enough compatibility he can be summoned extremely quickly. There isn't much purpose for using magic in FF8, since your physical attacks will easily do more damage once you have some good magic junctioned to it. And if a certain enemy has a high defense against physical attacks, like Adamantoises, etc., you can just summon a GF like Doomtrain or Diablos. You don't need to use Curagas or Full-Lifes either since Alexander offers Revive and Leviathan offers Recover. Status ailments are easily dealt with with Siren's Treatment too, so no need for Esunas. Except maybe if everyone has the ailment, then you'd might want to triple cast Esuna.