Exactly. This is what they do at Disneyworld and Disneyland, especially, since Annaheim has sewn them in. That close will still provide a nice screen.Seeing as that swatch of mulch is approximately 4ft away, (hard to tell from the pictures) a row of arborvitaes on the left and right side of your pool would offer you some privacy once fully matured.
By planting them closer to the pool, (instead of along the fence) when they grow to their mature height, usually 12-14ft, your neighbors won’t be able to see you easily. (It’s sort of like taking a piece of paper and holding it in front of your face, you can’t really see much around it. Now take that piece of paper and hold it at arms length, now you can see around it)