Why do people turn this question into something it's not? No, I would not use that leash.
I use prong on all my dogs, personal&foster. With my personal dog, I do not use backup. She is very well trained and if for some reason it did come undone, it's not like she would take off. I would just tell her to sit, and she would wait for me to fix it and put it back on. With the foster dogs, however, Having a prong collar come undone could be a disaster. Most of them have no recall, and if they figure out that they're no longer on leash, they could be gone in a second.
To all you idiots out there dissing the prong collar, do some research.
"I would have to wonder how a dog that is worthy of being a household pet could even get out of a prong collar in the first place. It sounds like they're training bears..."
You might be surprised! I have had a properly fitted prong collar just come undone, for no reason. I also use prongs on my foster dogs, and they don't always like the idea of being leashed and will struggle and squirm, which makes the prong come undone.
It is much better to be safe than sorry, right?
ETA; I'm not sure the exact brand, it is just the ones from Petco/Petsmart. My parents want me to pay for all "extra" dog stuff, so, I don't really have much money to buy any type of higher-tech one. TBH I didn't even know there was more than one type of Prong! I am happy using the one I have now, without backup when on my personal dog and with backup when it's on the fosters. :)