With League having both side lanes with an identical length that does not depend on which side you're on I think top and bot are fine as names. If you need to get into specific locations the bushes and the general jungle layout, along with either top or bot, is typically fine.
Playing top purple side is more dangerous than top blue side because of that tri bush. Even if it is warded, it allows an avenue for the enemy to flank you more easily. Where blue side would have to be past equilibrium to be ganked reliably, purple can be AT equilibrium and still be ganked effectively due to the tribush. The reverse is true for bot lane.
You should be playing differently on blue/purple because your "Safe point" is at different parts of the lane. Blue side can be very aggressive without as much thought as purple which can be ganked unless pushed under their tower.