I'm kinda glad I tried to explain this, because I realize just how much I lack the proper words for it.
The earth rotation wobbles a bit, but the axis itself is also not tilted towards the sun (it has no specific reason to) nor tilted towards the inside of the revolution axis relative to the sun.
Basically the earth can be spinning on itself around any axis (let's call it A), while revolving around the sun on an unrelated axis (B). And neither A nor B has to be following the North/South axis. That's where the idea that a latitudinal timezone sees a similar solar cycle seems at odds to me.
Right they aren’t aligned. Sun’s axis is aligned perpendicular to the ecliptic. Earth is tilted 23.5 degrees from that. So North pole is tilted towards the sun on June 21 and South pole tilted towards it on December 21—why there are seasons. Doesn’t affect timezones to my knowledge.
No.
Helsinki's solar noon is about 35 minutes later than Cape Town's and 100 minutes later than Pretoria's.
This is normal, because time zones are mostly broken into non-uniform 1 hour increments across 180 degrees of latitude.