Obliquity | Timezones and sundials

Obliquity | Timezones and sundials
I have questions about sundials, timezones and the tilt/obliquity of the globe:

-If the earth is tilted, then why aren’t time zones on a map skew?

(on the picture below, in June, it’s day in Canada and night in Peru at the same time)

-Can the gnonom of a sundial point to the 12 at noon in spring, looking at this picture below?

I decided to start a new topic to discuss the working of time, orbit and (types of) sundials, if that’s ok (maybe I overlooked an existing topic).