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I believe that Quest markers should be removed on Elder Scrolls Online.
1. Promotes Exploration - Because of these Quest markers, most players (who come from a vast experience in mmorpg) tends to just focus on these linear quest line, rush through it and miss out on what's around them. ESO and how it is now has a pretty rough beginning game, quest lines are spread far apart and it makes players feel uncomfortable having to run extreme distances just to do a quest. However, this type of system promotes exploration as travelling over far distances may have you discover NPC's giving a quest or other environmental interactions.
2. Immersion - If Quest markers have been removed, players would have to interact with the NPC's, read what they say, and if they are asking for you to do something, odds are that is how a quest is given. This type of system will make players in ESO become more immersed with the game and it's characters.