Definitely not deriding horseback riding (no pun intended). Humans will always do things for pleasure that they used to do purely for practical reasons. Just look at the mere act of jogging.
But, one thing I know that I'll never do for fun is debugging IE6 browser compatibility issues. I'll never get that part of my brain back again.
Many people still enjoy horses without using them as primary transport. I reckon it will be the same with ICE cars - various people with the money and inclination will still enjoy classic cars even when their daily driver is electric.