lightning wouldn't melt adamantium. anyone who says otherwise is either uninformed, or trying to play up storm while downplaying wolverine. logan would have healed from the lightning strike in about fifteen to thirty seconds, by comic time. true, that gives ororo a lot of play, but one bolt of lightning isn't enough to fell wolverine.
just to argue against popular opinion, i'd like to point out that it is entirely possible for logan to win. there are various situations in which logan cannot win, if storm is given distance, primarily. but logan could very easily make his own weakness into one for storm as well. the best instance i can think of would be if they were in a forest. storm could easily flood the forest with winds, or drop the temperature of the forest by a few dozen degrees (as she did in the enemy of the state arc.) she could probably even set the whole thing ablaze and try to flush logan out. but, storm is one of the most nurturing of the x-men, and her attachment to forest-dwelling animals was brought up in the 'enemy of the state' arc, as well. even trying to stop a brainwashed wolverine who'd just attacked the mansion, tried to blow through a few in the x-jet, and who'd threatened to basically turn all of west chester county into soil, storm wouldn't use any force against him that would hurt the bystanding animals. so she wouldn't make it too cold, and she wouldn't set it on fire. she probably wouldn't use excess wind, either, given the smaller animals. all she has left is close-quarter combat, and some crossed fingers hoping she can electrify logan before he gets her first.
there are other scenarios that could be thought up, and while i agree storm has the advantage, it doesn't mean you can outright discount wolverine. she's a better, more experienced fighter than storm, and he's a killer. that's something to be reckoned with.