You cannot have a radially oriented magnet.
Surely you must realize that just because you don't have a radially oriented magnet it certainly doesn't mean you cannot have one.
Really! Just because you don't have one doesn't mean you can't have one!
And if you stopped to think about how magnets are made up of lots of tiny micro magnets called magnetic domains, you could realize that since any individual micro magnet domain can be in any angle, you could form any kind of magnet you like. I got a magnet with like 6 north poles and 6 south poles! But never mind that.
And I'm going back to a resource you provided earlier. See this image here:
https://www.armsmag.com/images/Ring-Radial-Magnetization.pngThey explain that if you use their magnets to form a ring, you do not get an even distribution because each magnet of theirs is not radially magnetized.
However, it is sort of radially magnetized.
Now put your thinking cap on and consider what would happen if you used a million thin pie slice magnets instead of 6 segments?
You *would* get a radially poled magnet! And here's the clincher: Magnets *are* made up of millions of tiny micro magnets! If you don't believe me go do a little research.
But it's entirely possible to arrange billions of tiny micro magnets
Furthermore, center-poled electromagnets are also common in industry, so who's to say the earth magnetic field isn't something electrical? If there are electrons circulating in the hot conductive lava deep down, that too would create a center-poled magnetic field.
I really don't think we can conclusively state that radially oriented magnets cannot exist. That's kind of like proving the non-existence of something.
I think a bigger problem would be that for a radially oriented magnet, the magnetic force at the center would be much stronger per square meter than it would be around the edge.
The magnetic field strength on earth is supposed to range from 25 to 65 microteslas, so maybe it's 65 on the north pole and 25 around the edge?