Forum:Why do none of the Four Riders ride?

I just want to point out something weird from Path of Radiance. The Four Riders of Daein. They are very improperly named. Lets go through the list.

The original four Riders:

Gawain/Greil:  His one gameplay example is in the tutorial. In this, his class is Hero, with the exact same caps as the Lord class, but with axes. And it is not mounted.

Tauroneo:  Tauroneo is of the general class. Maybe you could say that his horse was taken away when he was demoted, but thats quite a stretch.

Bryce:   Bryce is a general. That is all.

Lanvega:  Lanvega is a backround charecter. So... Maybe?

Now onto the Ashnard's Riders.

The Black Knight:  A general in Path of Raidence, and a Black Knight in Raidant Dawn. Not mounted in either.

Bertram:  A paladin in one, a gold knight in the other. So yes, this one IS mounted.

Petrine:  A paladin. This one is also mounted.

So lets look at the final tally:

Unmounted:

In the original four, Three of them are not mounted, and one of them is... maybe?

The three added by Ashnard:

Two are riders, two are not.

So the final tally:  Four are on foot, two are mounted, and one is maybe.

And of those four, three are generals. (Arguably two.)   So at least as many are generals as are riders. So why aren't they the generals of Daein? WHY ARE THEY THE RIDERS?