I was about to make an evil non-Lloth Drow for my AD&D group. Most of the players have never played AD&D before, so they don't know much about the alignment system. But the player and the GM do know, and protested the choice.
Their main argument was that it's too dangerous if the group runs across a Paladin, and some quests won't be doable because quest givers would hire someone with detect evil first. And that I would 'have to' do evil deeds.
My argument was that this is a game mechanic and not that frequently used, and would most likely only be a problem for truly 'good-aligned' quests for some specifically 'good-aligned' god that uses paladins in the first place (like Tyr or Helm). There is also the consideration that even a lot of citizen are evil without going on a rampage, like cold-hearted merchants and barons.
After some more argument, the GM decided that I could play the character, as long as I explain it away with a plausible back story that details why I would work with them and don't back stab the party at the first opportunity I get. I decided to switch to a true neutral alignment dwarf, just to avoid friction.
I am still interested to see if this is really such a problem with the game to play a coldblooded character with every paladin and cleric having access to ways to detect evil. Most of my knowledge of the setting is gleaned from novels; I have not played much AD&D other than PC games. But in those, it never seems to be an issue (mainly drizzt and liriel come to mind, two drow that are actually good, but they never were scanned).