There's confusion on "impurities" , and the article doesn't help itself in that regard.
There's dirt which is an impurity, and there's impurities.
Parafins, Wax and stuff is simply something that comes with the crude, Hydrotreating chews them up and turns them into stuff that more resembles oil. They are impurities, for sure, but I'd hardly call them "insolubles"...good luck filtering them out at any normal sort of running temperature.
Sulfur is in crude, some undoubtedly makes it through the process...it's an impurity too.
Dirt is dirt, sand (silica) etc. and just because your oil is made from natural gas, doesn't mean that it's NOT got dirt in it...can be dirt anywhere in the process, catalyst dust, dirty drums etc.
When we check a brand new drum of hydraulic oil, it's particle count is generally woeful...so bad that we decant it through a 5um filter into the equipment. Put it in dirty, and the service filters eventually clean it up, but they get loaded. Cheaper and easier to clean it on the way in.
For an interesting take on what RP are saying about the advantages of synthetic oil being not full of impurities, check out this thread.
https://bobistheoilguy.com/forums/ubbthreads.php?ubb=showflat&Number=477495