It would be handy if your follower could ride on your horse with you to cut down on wait time.Disable them from using mounted combat however as they would be holding onto you to avoid falling off.
Pah, I have seen Lydia running on the spot on top of the saddle before now, they are like old people on the bus into town to collect their pensions, no matter how rough the ride is their fragile old wobbly knees keep them planted firmly. Hmm, OAP's and followers have a lot in common, generally slow the pace of everything around them, make senile decisions, and tend to repeat the same old lines.