IMO, yes, it would look weird.

It would look fine if you remove the large cab on wall w sink and arched wall. The arch and that wall can be a feature . Paint it a color and maybe a couple open shelves instead of that cab if you want . Then you can certainly do tile one wall . However it may be an easy reach cab and can’t take off the one side of cabinet/ my fear. Too bad the arch is a nice detail it is generous but a nice curve worth playing up.

It would look weird for about a week or so then you’d forget it. But preferably, and so everyone else seeing it wouldn’t see weird, would be to replace the sink side curb with a row or two of the subway tile so it’s all the same. Extra cost and effort but in the long run, it’s really a better solution.

I would do tile around. Why not? If it is a budget concern, I would leave as is, which looks good.

Could you extend the countertop material in the stone wall?

You have two options, remove solid piece from both sides and tile, or keep solid pieces and tile. I'm sure there will others you'll say can't tile if you keep the existing; but what's the harm if you're using a simple backsplash tile?

Yes it would look odd. I would do a backsplash just behind the stove in between the 4" pieces, then paint the kitchen some kind of white. So many to choose from.

It can be done.

1) Put backsplash tile behind stove wall full height.

2) Run tile one row high behind sink.

For continuous look.

3) Also one idea: have your electrician move outlets to undercabinets, under the top cabinets. A power strip can be installed underneath the cabinets.

The tile will be uninterrupted and the outlets will be concealed an tiles will not have to be cut for a smooth tile look.

Thank you all for the responses! If I go with tiling the wall where the sink is, I'm struggling with what looks good with the space between where the cabinet ends and where the arch starts. Should the tile be in the red box below? Or should the tiles go all the way across past the cabinets (where the outlet outside the red box is) then down to the sink? The other side of the arch doesn't have cabinets. Thank you!

I’d just do, on the sink wall, all the way across, a row or two to mimic the bumper that is there, since there isn’t a natural stopping point.

I would leave it like it is, and just tile above the stove. More important for me, would be to change the wall paint. That paint does not go well with your cabinets.