From a personal point of view, no I'm not interested in working traffic in the LLR, Manch have a far better picture of what's going on in there. Besides, the radar coverage from Liverpool aint brilliant at 1250' or less in the LLR, there may be traffic we can't see!
Anyone I'm working, be it a local flight or transit, gets transferred to 119.52 if it is their intention to transit the LLR.
HOWEVER! Always thought it "interesting" that the LLR is managed by Manch APR even though it's directly below the 27 approach to Liverpool
Still, it's less traffic on my frequency I suppose..........