While I can understand they would want to get it filled up as quickly as possible, I'd strongly recomend they spend a good afternoon cleaning it. Now is the best time for them to scrub it down and ensure it's clean.
To de-cootie the tub, I'd suggest using a "swirl away product" to clean out the pumbing. Thier dealer should carry it, or a similliar product. Rinse well. If any of the jets can be taken off and washed, it would be a good idea too. Gunk and staining can build up in there.
I'd also pull the pillows out and wash both the pillow and the shell behind them.
New filters are a must, IMHO.
If they wanted, this might also be a good time to put a coat of shell wax (fast glos) on the tub, and maybe some 303 protectant on the cover. (They should wash the underside of the cover as well. )
What type of Arteisan are they getting?