Why? Because joining a prestigious club and writing history their and joining a list of legends will mean a lot.
Yeah, I think you're a bit deluded with it all really. Scousers do this all the time, you get so wrapped up in your history and wind up believing others view it the same way. They really don't, particulartly foreign players - which is who we were talking about.
You didn't like the Ajax comparison but the reason I used them is because they have such a wonderful history - no doubt better than Pool's on the continent, given the legends who played there - but its irrelevant when players judge their present careers. The bottom line is that 99% of players want the best career for themsleves, not in a selfish way but just because as a driven professional you want to be successful. You might be wrapped up in the past, but players are not.
If you aren't a fan of Liverpool, or at least English, then Pool's 80's success is irrelevant. I don't even actually think you're that 'prestigious' anymore, simply because its been so long since you were a good side. You have some good history but that isn't the same as currently being a prestigious club.
Anyway, your basic reasons I don't think are good ones. Fundamentally I think you're ignoring the fact that top players like Kroos have their pick of 'prestigious' clubs - and most of these haven't declined as you have. But more importantly, given the calibre of clubs Liverpool are competing with for these top players I don't actually think your history has any pull at all. I mean why would writing history at Liverpool and joining King Kenny and Stevie G on a list of legends be more attractive than writing history at Madrid and joing Di Stefano and Zidane, or Milan with Baresi and Maldini, or Bayern with Matthaus and the Kaiser?
Not only is your success so outdated as to become irrelevant, but it isn't even as rich as other clubs competing for the likes of Kroos - clubs that have had better teams and better players than anything Liverpool have. And of course, clubs that haven't swapped that success for medicority the way that Liverpool did.
This isn't really the thread for it, but that 80's team doesn't compare to some of the other great European sides. You say that these top transfer targets like Koke would like to 'write their history and join the list of legends at Liverpool'.. In that 15 years of success how many players do you think Koke could even name. I bet he wouldn't get over five and none of them all time greats with the pull that legends at other clubs do.