I'm not trying to be contrary here -- I really don't understand, and I'm trying my best. Here's the question I have:...
Anyway, the question is whether the "one year" is based on when we purchased it versus the date placed in their service loaner pool.
Why are you still discussing time -- the "one year" part -- when the car meets the OTHER requirement for a service, the mileage part?
Again, not trying to be a smartaleck or a jerk, etc., but do you understand that the requirement for a first (or subsequent) service is whether the car has been used for a year OR has accumulated 10,000 miles?
Since your car has accumulated the 10,000 miles part, explain why the in-service, in-use, sold date are being discussed at all? You don't seem to be acknowledging in this discussion that the car's now having 10,000 miles on it means that it's due for service (unless the dealer already performed its first service, before selling it to you).