I can see why you would take it that way. From my POV, I just read it as a friendly rib jab about good ol' "caveat emptor".
Granted, mine is one of ZERO trust of any oil change place, dealer or otherwise. Unless I myself open the bottle and I myself pour that bottle into my car, I don't assume anything. So take it for what it's worth.
Now then, if I have to furnish my own materials to a dealership, that means I already have a trust issue with the competency of that dealership to select & utilize proper parts & materials. Concern about what oil they might use is one thing, but one would imagine a Genesis dealer service dept would get their oil filter from their own parts counter right next to them. If I have concerns about them not using genuine OEM filters... well, then there are some some very fundamental trust issues involved. Why would I even trust any service work they perform?
Honestly, if you cannot or don't want to DIY (understandable), you'd be better off taking the Mobil 1 and WIX filter down to your local Jiffy Lube. They let you stay right in your own car, so you get to watch them pour your oil and install your filter into your engine.
As Ronald Reagan famously said about the Russians... Trust, but VERIFY.
I can understand your point of view and your "trust issues" with these places - especially the dealers. Mine isn't a stand-alone dedicated Genesis dealership, it's a glorified Hyundai dealership with one of only two Genesis add-on franchises in the Pgh area. My car is treated like any Hyundai Elantra or whatever. I hate the place - they're overpriced and very lackadaisical about what they do in that service department, and the guys ("Service Advisors") at the service counter treat people like shit. The ONLY reason I went to them for oil changes (or ANY service) was the 3 years of free oil changes and PA state inspections included when buying my G70, with the pick-up of my car - which was a BIG feature, becuz they're about 18 miles away in the North Hills, I live way down here in the East End of the City of Pittsburgh, and free loaner for the day, then return of my vehicle to me at the end of the day. Sometimes they'd even wash it, but that was rare. My feeling is that, if you spent the $$ to buy a Genesis, EVERY TIME it went to the dealer for service, you should get it back freshly-washed....
Now that those 3 yrs are over, I'm going back to Brad at Lifetime Auto, my trusted shop owner in the neighborhood next door about 2.5 miles from me. I've dealt with him thru 4 vehicles over the past almost-20 yrs, and I KNOW that if I furnish him my own very pricey Mobil 1 synthetic oil and WIX OEM filter, his guys are going to put those parts in my car, and do a nice neat job of it.
One last thing. Speaking of parts departments, after 3 years I finally put new wipers on my car a couple months ago because the passenger side was starting to leaves streaks. I bought the OEM parts from from a dealer in CA thru eBay, paid approx $45 for both L&R wipers (including free shipping). The aforementioned local dealer up north wanted more than that (48 bucks) for JUST the driver's side wiper, then another $26 for the passenger side. So their price was $74 (plus the 18-mile drive each way to and from the place) for 2 wipers I got - delivered to my front door - for about 45 bucks.... I would NEVER buy parts from a local dealer. I can get the WIX oil filters thru eBay too or the local O'Reilly's a couple miles away for about $12.50 each, but then I found out (I think it was a post here on the Forum) I could get 3 of 'em from Rock Auto for about $7 apiece + $8 shipping (total 29 bucks, net cost $9.66 ea), so that's where I get them. Made in Korea, same filter Genesis uses at the factory.
It's crazy the parts you can get (at GREAT prices) from dealers selling on eBay - I figure that the dealer in CA had the best price on the wipers because they're on the left coast, closest to Korea and pay FAR LESS shipping costs than east coast dealers.....