Assuming you mean Gortex by writing GTX I don’t see much difference between the two fabrics, overall.
Generally eVent is lighter because it is made with no outer covering to keep it clean. But, you have to wash it with regular laundry and avoid fine dust & oils (it can also “plug up” with water slowing breathing.) A light fabric (like Gortex core,) it can be delicate to handle. So, it is usually laminated with a couple layers for strength. Seams are a bitch. They leak easily (though not as bad as Gortex) and are difficult to seal due to the lamination. It all ends up rather heavy, even though touted as light weight.
Reqular Gortex, having an inner/outer membrane, stays cleaner longer and doesn’t require much maintenance. For example you find it a lot on shoes/boots that don’t get laundered a lot. It is warmer since it is three somewhat thicker layers (“self” cleaning film inside/outside and Gortex layer, plus fabric laminates.) And it requires more heat to drive moisture through it. Usually a minimum four layer construction, it is quite durable, but you pay for the durability with weight. Again, due to the films, it is difficult to seal seams with tape and really needs liquid sealers to penetrate the stitching/seams to seal the compound membrane.
In both cases the two can stretch oddly when sandwiched. Both can micro-rip slightly if over stressed, being thin films. This means they have finite lifetimes. They go bad after a month to 6-7 years depending on use & care. Indeed packing, unpacking, wearing can degrade either material over rather short time periods, depending on the laminates and user. Pokes can cause micro tears in either. Using a rain jacket as a ground cloth is not recommended. It is usually sandwiched with nylon but nylon can stretch, and the thickness can over stretch the thin membrane in sharp bends. Poly stretches, too, and is heavier for the same strength, actually worse since it is thicker. Lighter means more stretch, but this is where you have problems with pokes & pulls to the membrane (along with seam sealing.) The ultra fine micro-holes of the manufacture eventually open up into larger holes and leak due to mechanical damage. Not worth the dollars in either case, in my estimation. Very popular with new hikers, though.
Offhand, I would say that eVent would be a better bivy, provided you keep it maintained. It is lighter. But maintenance can be difficult on a long two week outing or a thru hike. It is less water proof, breaths better, has less fabric to force micro-tears (from creasing,) but, it can degrade quickly in use from dirt and oils. It will breath slightly better, but, is usually heavier where any use dictates a stronger fabric.
(Interesting to look at 7D nylon reinforced with spectra grid, nothing on the market. It won’t eliminate the creasing problem but help a bit, but will mostly eliminate pokes, stretches and punctures.)
For both fabrics, I remain ambivalent. I see them as non-permanent, expensive and heavy. I think the only place I use either is on my shoes and on a stuff sack.