Understanding Geo Brackets vs Front sway bars

There are lots of posts about this, but I can never find a real answer on why over on or the other. Maybe someone who actually understands suspension and geometry.

A stock Wrangler comes with sway without any type of bracket system.

Now when lifting say with a 2.5" lift with AEV or other brands, its advised or seems to be more popular to use the Geo Brackets instead longer sway link brackets.

Now I assume with the geo brackets, not only do the sway bar links work, they allow stock LCA arms, correct?

Some will say go with longer links and adjustable LCA. This makes sense as it would be more like a STOCK Jeep. Why would this ride worse as some say.

I assume only downfall is price?

So besides clearance and cost, what advantage does the geo brackets give?