I make and sell tack... And I pride myself on the quality I use. Here's what I think:
Wednesbury - never seen these, but would love to try them out and see how they last.
Trigger snap - Terrible. The springs wear out, if you don't have stainless steel, the triggers rust and get caught more, the trigger breaks off, they're weaker.... the list goes on. I simply do not offer these on my tack.
Traditional bull snaps - can't stand them either. Good quality, but I want something I can take on and off with ease. They're also heavy, which interferes with the communication aspect.
Trigger bull snap - when it comes to snaps, these are my favorite. They're easy to snap on and off with one hand, and heavy duty. Of course, the key word there is also "heavy", again interfering with communication. This is one of my lead ropes with a trigger bull snap:
Heavy-duty caribeaner aka "safety Snap" - lighter weight, strong, and durable. A good alternative to a heavy bull snap.
Panic Snap - Not my favorite for leads, but still good quality and durable if you get them from the right place. Still, I like a more "secure" snap for leading, though I use these for trailer ties for obvious reasons.
Loop - best for communication, not so great for quickly attaching and unattaching.
Rope snap alternative - I've seen these sold on a few sites and am developing my own version. Being lightweight and of the same durable rope I use for my tack, this will likely be my favorite "snap"... once it's available lol.