Not necessarily, you could be doing both at the same time. This is actually quite popular, as a kind of Grand Tour.
For example, a driving tour of the French Alps would, I think, count as driving for pleasure, especially when you could take a coach and do the same trip. You can even pay to go on organised tours, such as http://petrolhead.tours.
For example, a driving tour of the French Alps would, I think, count as driving for pleasure, especially when you could take a coach and do the same trip. You can even pay to go on organised tours, such as http://petrolhead.tours.