Do the heavy gauges have recommended uses like "cattle" or "high security"?
My uninformed guess is that "standard" chain link fence like for a schoolyard is heavier than you need. I don't remember seeing "lightweight" chain link.
I assume that you aren't trying to keep elk or brown bears or wooly mammoths out of your yard.
Maybe much cheaper "woven wire" fencing would be enough.
If you are trying to keep neighbors, especially kids, out of your yard, probably chain link is better than having them trample over lighter stuff. Someone decided to short-cut through my garden and trampled down a little knee-high fence that must have been in his way. (grrr)
P.S. I read that in India they rub "Ghost Peppers" (Bhut Jolokoi chili peppers) on fences to keep wild elephants from knocking them down. It must be effective, becuase once I spr9nkled some chopped pizza peppers on a seed bed, and I have NEVER seen wild elephants since then.