I suspect that'd be a wash. The important thing is to get GOOD lynch pins (another name for what you describe).
"Good" is determined by the strength of the spring latch. Tractor Supply sells two grades and the cheap one - unsurprisingly - is junk with a weak spring that pops open if you look at it cross-eyed.
If the spring doesn't snap shut with enough force to raise a blood-blister when (not if...) you have your finger in the wrong place, it's not strong enough.
The "D" style depends on the stirrup - or maybe the right term is bail - being strong enough to snap over the end of the pin with authority. Again, if it doesn't take significant effort to pop it over, it's not strong enough.