Leaving aside my googly above re provision of Basic Service in Class D, I should place on record that my experience of the service from Manch controllers while transiting the LLR is that they are absolutely excellent, have no trouble juggling vectoring IFR inbounds with passing radar-derived traffic info to LLR traffic, and seem to be capable of being pleasant and cheery even when busy.
Because of that, when using the LLR I always call Manch because apart from that leading to (at least the potential for) better traffic info for me, it also means better traffic info for everyone else too. Plus it gives the controllers the option of (1) ignoring me if they're too busy, (2) leaving me as unidentified but giving general traffic info, or (3) identifying me and giving more specific traffic info if able.
NS