My neighbors and I generally give each other cards for the holidays and a small gift (food, plant, ornament, etc.). There are 8 houses that do this and there's no gift exchange. We just leave them on each other's doorsteps when we have time. I usually bake some type of cookies and give them out. One of the neighbors, Becky, also usually has a small gathering at her house one night for the ladies. Dinner is potluck and she'll provide dessert.
One year, I baked 5 different kinds of cookies/treats and gave about 10 of each kind on a platter to each neighbor. Let's say the different kinds of cookies were A, B, C, D and E. A few days later, at the ladies' gathering, on the dessert tray that Becky provided were three of my 5 types of cookies, plus a few other things she'd added. I realized they were a gift, and hers to do with as she pleased. At the time, it amused me somewhat, because it made it clear to me that she clearly really liked cookie types A and B as she didn't provide any of those on the plate, but 8 or 9 of each of C, D and E were there. That indicated to me that she or someone in her family had tasted C, D and E and determined that they weren't as worthy of saving for later.
This year, I didn't have time to bake and so I bought the neighbors toffee from a specific company and each piece is individually wrapped in foil with their logo. At Becky's party a week later, there were various desserts and a bowl full of the toffee that I had given her.
I do understand that the gifts are hers to share. I just don't think that I, personally, would have offered people desserts that they would all recognize. Especially if the original desert giver were present. Would you do this?