I gate clip from center to out of the spool. So gate is facing out of the spool.
You'll have to rotate the spool almost 180 degrees for the spool to pop the gate.
Your way [OP], gate facing the center, you rotate 90 and your gate bumps the line and can come unclipped.
Your line can also unspool itself if you don't wrap tight or do a locking line wrap through the holes before clipping off.
Being a glove guy, I just don't want to bother with the latter.
Sometimes if your double ender gate is very smooth and low tension, it makes it more likely; by a minute difference.
My experience seeing double ender fails are almost always on splash entry. Backroll for mesh gear bags and giant strides for spools. Usually the item in question is not hugged on entry and rotated enough to pop the gate. I've only had 1 instances of this happening to me, throughout all my dives. Lost a mesh gear bag on backroll that ended up landing right on the anchor. The bag rotated on impact and popped the gate.
You could chest clip and hug for entries then shift everything to their "proper" place after you're situated on the surface or under.
Solves the problem right away.