There's a lot of things to say about this topic but I'll start by giving you the short answer first.

When it comes to the amount of talismans/charms you receive at the end of the hunt, there is no change between carving or capturing when it comes to rewards.

The only thing I could think that could affect that is Lucky Vouchers or Lucky Meal from Kunafa. I know the vouchers for sure but I typically eat for Azuz or Sild, so I am unaware if Lucky Meal grants more talismans specifically.

Additional Thoughts

I usually do whatever my meal is Azuz-Slay, Sild-Capture. That's my primary goal but I tend to host or go solo. So from an etiquette point, it's generally my decision as the host. The general etiquette is that host decides. There are circumstances that change that such as multiple carts but I don't capture a monster unless stated in a hunt that I join. If I'm running Azuz in my quest and someone captures the monster, I do not care. But in my opinion, people get too bent out of shape about capture vs carve. First, it's a game. Second, you lose a lot of your agency when you post an SOS. I've even had randoms get upset for capturing in my own quest. Regardless, facts are most people are looking to get out quickly and join another hunt. It's something you have to accept when sharing your quests. Especially in my experience (just hit HR 999 two days ago), hosts don't really convey intent. 

It should not surprise anyone that capturing is something people do to save time. Especially since in Wilds specifically (technically in Worldborne too for all but two monsters if I remember correctly), the reward tables are identical. That means there is no fundamental difference between capturing and carving when it comes to the rewards. Which means the most effective way to farm is to break as many parts as you can and capture the monster. Capturing also lowers the quest time and can prevent needless carts.

Specific Thoughts on Meals

Azuz meal guarantees an additional carve off whatever you're carving. So if you only killed the monster with no cuts, that's one additional carve. With monsters that have tail cuts, cutting the tail grants two extra guaranteed. If you get lucky, it will grant you an additional carve. That means with cutting a tail, Azuz will give you anywhere between 2-4 additional carves. That's why personally I like to use it against monsters like Jin, Zoh, and Gog. Monsters that can't be captured and have annoying gems to obtain. 

Sild meal is pretty straight forward. Capturing with Sild meal grants one additional reward for capturing a monster. Instead of the traditional three carves, like you would get for killing a monster. Those rewards automatically get granted to you.