I disagree.
"Cheekpiece" to me is a functional rest that I anchor my cheekbone onto, not a sappy, decorative wing of wood Monte Carlo abomination.
One cannot line the ocular cavity up with the bore of the scope without a comb height that matches. Either the comb itself is the height required, or you put in place a cheek pad. It can be an adjustable block of wood, or layers of padding. Without your cheekbone anchored on the comb you will never get fast, consistent cheek weld behind the scope. Different positions of the head behind the scope changes your zero. Without the cheekrest, you won't shoot the scope/rifle well in a hunting or combat situation.
European hunters tend to use chin welds - they often times shoot from hochsitze - lots of time to jockey your head around behind the scope, find the reticle, find the deer, and eventually take your shot. It can work that way, obviously. Not quickly, under duress, however. I suppose if you train anything enough you can make ANY technique work in muscle memory.
Snipers do not use chin welds. They have adjustable cheek pieces to get consistent cheek weld. Consistent can deliver accurate precision.
You also cannot have a comb height that is set for the iron sights that will also work for a scope. A cheekrest will have to be added. Boddington and Roberts both cover this in their books, as well as Woods.
I do functional rifles. Rugged, matte, painted, handy. 20" barrel or less, synthetic stock, Viking Tactics 2 point sling, Leupold or Trijicon glass. Beartooth Creek comb pad riser system. If one of these scopes defecates the bed, then I can strip off the comb pad and use the iron sights.
Just my $.02 worth. YMMV.