You are going to have cabinets coming up to each side of the hood as shown in your two example pictures ? My vote is stop at hood.

Agree - stop at hood.

I say all the way up. Looks unfinsihed the other way. And imagin the pain to paint and cut when you repaint the kitchen where the hood is later on.
Ice.

Either would be OK but I prefer the look of marble all the way to the ceiling. Depending on how much it cost for the third slab though, I could probably live with stopping at the bottom of the hood.

all the way up

part of it is personal preference, part IMHO is not.

And the deciding factor IMHO as to whether its personal preference is: are the cabinets on either side basically touching the hood or is there space?

if you have a decent amount of space on either side of the hood I think it basically "has" to go to the ceiling.

obviously some people have different preferences or sore points.

if you have cabinets on either side that basically touch, I think it is really personal preference.

if you have a chunky hood like those and a small amount of space on either side, I'd say stop at the hood.

I dunno. Chimney hoods often look wrong with cabinets close by on either side anyway so I'd just do whatever it takes to avoid a seam at eye level.

I don't think either option is wrong, but my personal preference is for all the way up.

If the cabs will be hung close to the hood, I'd stop at hood height. To me, the additional money spent to marble that upper area would be better served somewhere else in my kitchen. Then again, my budget wasnt unlimited. I'd rather spend that extra cash on a better faucet that is so very essential for everyday kitchen life. Or on a better appliance where sometimes a little bit more money buys you a much better unit. Or on new cookware.

OTOH, if you will see lots of drywall between cabs and hood, i would marble to the ceiling. I don't have upper cabs flanking my hood so I knew that I would need to run my bs to the ceiling.

Another element that would effect my decision is the amount of other bare drywall area in the kitchen. If there will be very little, then Id lean towards marbling the wall.

Your example pics have a set end point for the backsplash on the end of the cabinet run but in your kitchen it appears that the backsplash will have to continue on with the peninsula. Because of this it may look odd to have the backsplash to the ceiling but I would need to see more pics of the range wall to be sure.