I don't think I'm going to be able to change anyone's mind on liking a skill system with their game but here are my two cents.
Skill systems are required in games to resolve action-conflicts impartially. There are three broad categories of conflict:
1. Combat
2. Social
3. Miscellaneous.
For RPGs combat is generally a large part of the conflicts, especially in fantasy RPGs. So if you have a built-in combat system then you don't need a skill system for it.
For social situations...well, this is an RPG...shouldn't social tasks be resolved by...you know...that roleplaying lark? This requires an impartial GM of course. I always found it funny that games that emphasis RP aspects tend to have massive social task resolution systems which usually slow down any attempt at RP.
Miscellaneous tasks next. Maintaining armour, butchering an animal, bandaging a wound....these are all tasks you might expect a crusader knight to be able to undertake. Should the knight have to roll for these tasks? What about bandaging his friends mortal wound, during a thunderstorm, at night, with only his tabbard to use as a cloth? Why reduce the drama to "Roll 1d20 and add your skill to see if your squire lives"? Isn't it much more fun to RP it out?
All of the above of course assumes you have a fair GM...and if the "creepiest gamer" thread is to be believed then this may not be the case for everyone