A lot of the Liverpool players live near West Kirby, which is a reasonable upmarket area of the Wirral. Benitez lived there, as does Rush, Westerveld did too... quite a few.It's fair enough to expect CL status to attract interest in your club but Liverpool is a shithole and a half. It will still be hard to attract top foreign players to Merseyside because of where it is.
The top foreign players want to come and play/live in 1)London 2)Manchester. It's as simple as that because that's where the shops / lifestyles and foreign communities are.
Manchester isn't actually far from Liverpool at all (meaning where they live could be very similar), so there's not really much logic in the 'Manchester over Liverpool' argument