Planetary Rotation

First I'd just like to throw it out there that I have zero qualifications or formal education in this subject. Just what I have found online but I want the opinion of an expert.

So my question(s) is this;

Earth spins on a vertical axis as it revolves around the sun, to my knowledge this is contributory to there being a north and south pole where it is colder that anywhere else.

What if there was a planet that rotated on a horizontal axis instead? It's revolution around it's star is still the same, but with one of the poles is always facing the sun. So instead of a north and south pole, there are east and west poles.

How would this effect the habitability of the planet, given it as all other necessary conditions for supporting life?

Would my guess be correct that the pole facing the sun would essentially be a scorched and barren waste land and the opposite side is an iced over tundra?

This is for a story that I'm writing and I would like to get the science behind this concept correct or at least mostly correct.

Thank you!