I have a 14 year old dog (mixed breed, but looks exaclty like a hovawart - so a big dog) who has met my first guinea pig when she was a year old. When she just met first pig she had moments of jumping around him and running, which was very scary. She saw him as a puppy and wanted to play which is not suitable. There was an occasion where she stepped on him after jumping around, but lightly and didn't hurt him thankfully, but it was very scary to see. When she got older and calmer around pigs (otherwise she was crazy active dog) that's when she would lay next to them and just observe. They would be free in the garden and she would be calm and not touch them or come over them and sniff them, but walk very carefully around them and not to step on them. She has watched over my guinea pigs while they would graze on the grass in the garden for hours. To this day she adores the pigs, and is very gentle with them. However, I don't recommend having dog loose with your pigs ever, it just worked really well with that dog as she's naturally very sweet. 5 yeras ago I got other dog who I never trusted that much around pigs and that's when I stopped letting my pigs run free in the garden as well. It's just not worth the risk. My second dog is just too active and not gentle at all so I never tried bonding with pigs nor I will, though she has seen them through cages when she was young and was ok with them.
When I got a baby guinea pig, the baby chose my first dog (haven't had new one yet) over older pig. When outside she would run to the dog and lay between her paws, or even hide under her hind legs. They would sleep together like that, my dog licking the piggy until it was all wet and piggy loved it. That all changed from the guinea pig's side as the guinea pig was growing up. She didn't want anything to do with her anymore, did not mind her but never showed any interested in the dog - like any of my pigs ever did. They were never scared of her, as they got used to having her around them, not even when she sniffed them all over - they'd just continue eating or laying down as if nothing was happening.
The point is, my dog being as sweet as she is, as a pup was not to trust around piggies. After she turned 2, she was loose with pigs for hours. This continued for years and years, until I got a second dog. Never had I had one incident. But like I said it was just her nature and she learned to not run or jump around them. And my pigs were not fans of her but they weren't at all scared and didn't mind her. So though it did work for me, my dog and my pigs, I don't recommend it to try. It took me months of short sessions with the first pig till I got to that point of her not trying to treat it as another dog.
However, I don't recommend that you keep the puppy away from piggies until it grows up. It will be way easier to get the puppy used to piggies when she is a puppy. Much higher chance that she will never see them as a toy or something it may hunt. But I don't agree that she is the least scary that she is going to be as a puppy. Puppies are active, always playful and explore the world around them by biting. Those are not hard bites that hurt, but just the way they get to experience everything. As puppy grows it will learn that their teeth are not ok way of communication and it will soon stop. But it is dangerous for a pig especially if pup gets playful, as that's how dogs play, kinda fake biting. I suggest you meet them through bars/wire. It will be much easier for both your puppy and pigs to get used to each other while puppy is little. With my dog it was first contact with pig in closed cage, then slowly we progressed to her sniffing him while he's in my arms. She would try jumping on me at those times, which can be dangerous as she could scratch him with claws. After she learned not to jump while he's in my hands he could safely sit in my lap and later on ground, without her trying to jump on him or place paws on him. She was sniffing him only.
And the biggest advice, go with your gut

As you learn your puppy's personality it will be easier to see how trusted she can be around pigs. Every puppy should be able to adapt to piggies, learn to tolerate them, and it will help to have a dog who is fine with them and also piggies who won't get scared to have one around. But especially Labs. They are very sweet and friendly.