Depends on a lot of circumstances. There are some LCCs that I will not fly, while others (Europe's Niki, for example), I have found to be quite pleasant (I quite like Niki, as a matter of fact). As PPs have stated, if a direct flight on a budget airline will have me flying into or out of out of the way airports, that won't work particularly well for me. If it means lack of access to lounges, to premium cabins, to premium services in general, then it's a no-go. If some variation of those services is available, then the budget airline may be in play.
Niki, for example, doesn't have premium cabins, but for short hops, it's comfortable, its service is good and reliable, and I get FF miles.