While I take Wooltonian's point, I'm not sure it's even 'unfair' particularly: the players being selected are those that took Liverpool from one of the good clubs in English football, to the undisputed best.
Much as I respect what Wooltonian and others are saying, I'd have to agree with this.
Also, all the names in my top 10 I've either witnessed do their thing in their prime with my own two eyes, or else I've been indoctrinated into worshipping as a kid through videos, books, and the tele. Tragically, I never got to see Dalglish play in the flesh, but I sure as hell knew his name and face since I was about 7 (mainly thanks to my uncle determinedly trying to claim my soul for the red half with countless LFC annuals and VHS vids at birthdays & Christmasses)... before I was even that into footy!! Same with Souness and Hansen.
When football finally did get its claws well & truly into me, I had an inherited Kenny poster up on my bedroom wall alongside the likes of Fowler, McManaman and Redknapp, years after he'd retired. But I only really discovered older greats like Crazy Horse and Tommy Smith when I started developing my own interest in looking into LFC's history (particularly the Shankly era) for myself as a teen, so the personal connection there is just not so immediate and keenly felt. And it makes perfect sense, 'cause that just wasn't my generation; I had my own.
I'm certain that enough older generations of voters - and voters of all ages who want to show their appreciation for past legends - will ensure that greats from at least the 1920s-early'60s get a half-decent look in. Polls like this are always gona be strongly influenced by very personal affections, and in a way that's the only really honest way to approach it, to go with your heart. I mean, as per my rankings earlier, Luis Garcia really has no right to appear ahead of the likes of Liddell, Hunt and St John - but he kinda does for me! And anyway, it's only a bit of fun