Greetings from Oaxaca, Mexico!
I was really excited to see your post as I've been meaning to start a thread on cooking cactus. I've lived in Oaxaca for 25 years now (half my life!) and I truly believe eating cactus is part of the way forward.
I did, however, have to google the word, glochids, and see that's the little spiny balls, how did you get tunas into your freezer without removing those?
What you do with tunas--most nopal tunas actually don't have a lot of spines, not like pitayas, and other organ-type-cactus fruits.
Next time before freezing the tunas, holding with tongs if necessary, slice the top off, then slice just through the skin the long way. The skin--glochids and all, will then easily peel away from the fruit. If you accidentally slice all the way through, you can then scoop each half of the fruit out with a sturdy spoon.
Now as to your question--I'm not science-minded but can read in Spanish, in fact, translate for Mexican academics including a few food scientists. The only thing I've ever known of coming from a cooked tuna is syrup and jam. The tuna is the fruit and has the texture of watermelon. So it will completely dissolve if you cook it (even within the peel) this video suggests that we can make a tea out of the peel, but it's the first I've ever heard of that. You can also see in this vide at 2:15, what I said about how to peel it.
When it comes to eating the pads of the nopal plant, most people consume a variety that has minimum spines. And even cooked, these must be removed first.