I can give you both sides since I rescued a cocker girl and just got my little yorkie girl
First, I think each experience is personal and varies differently by individual.
My rescue girl was surrendered by a wife and husband who recently had their first child. She went straight from their home to ours. She was housebroken, fully vetted, spayed, and well socialized.
Although everything turned out great, I knew my next furbaby would be a puppy. I wanted to be able to choose my puppy, the breeder, and I wanted to raise my furbaby from puppyhood throughout adulthood. I wanted the fun, energy, playfulness of a puppy, and even wanted to puppy train her myself.
I just got my puppy a week ago Friday, and couldn't be happier

She came from a YT member and is everything I always wanted and more! Right now she's laying in my lap as I type this response
It was a win/win for me and my family with both experiences. Both experiences have also been very fulfilling. Hope this helps and doesn't confuse you more!