using LWP is faster and cleaner than using sockets

If with "faster" you mean "less time required to write the code", then presumably yes, because LWP provides a higher level programming interface than plain sockets, so you need to write less code to achieve the same effect.

OTOH, if "faster" means "runs faster", it wouldn't make much sense, as LWP uses sockets under the hood...  so you could (in theory) always write low-level socket code that runs at least as fast.