Yes — embedded pet hair is what our process is built for. Standard vacuums only pick up loose surface hair; we use rubber pet-hair brushes that lift the fur AGAINST the fabric grain (so it releases from where it is woven in), specialty vacuum attachments with flexible bristles for seat seams and stitching, and steam to break the static bond between fur and fiber.
The hardest spots: under the seat rails, in the seatbelt anchors, between the seat cushion and the back rest, and in the cargo-area side panels. We get to all of those — they take extra time and we plan for it. Our standard pet-hair add-on covers the inner surfaces of the seats (top, bottom, sides), the carpet pile, and the trunk liner; the headliner is rarely a hair issue but we check.
Realistic outcome: most cars come out 95%+ clean even after years of dog or cat use, with the remaining traces only visible if you specifically look for them. We will not promise 100% — for cars that have been heavily used by pets for many years, an unavoidable few hairs will keep working their way out of seat foam over the next few weeks. That is the nature of fabric, not a failure of the cleaning.