Seems some of their fans agree with you.
http://bleacherreport.com/articles/...m_medium=referral&utm_campaign=programming-UK
To have an FA Cup without a top-four finish would be more damaging to the club's mid-to-long-term future. It may be a sad reality for some to realise, but domestic cup success is secondary to Champions League qualification in modern day football.
We all want to win a trophy, but what Liverpool need is Champions League football.
This is precisely it. Players want to play for Champions League teams, they want big wages, and the team itself needs to be able to count on that income. So to get the players that guarantee those spots, you need to be in those spots. Liverpool had their chance this past summer to solidify a place in the CL and begin to attract the Sanchez-type players that can help a club kick on.
Their failure to get the right players in could haunt them if they miss 4 this year. Achieving 4th in consecutive seasons gives them the allure they need (or any club with aspirations for sustained success) to get in the players that can continue to achieve those positions.
Miss it this year, and lose some of their better players? They're stuck hoping to strike gold with an uproven player that can become a Suarez-level player...again.
In other words, missing 4th this season relegates them(in the eyes of top players) to Tottenham and Everton level as nearly teams that the cream of the crop won't go to. Like Tottenham they have cash, but the don't have glamour. The FA Cup doesn't factor into it.
Edited to add:
I'm not condoning this system, but with the world focusing on CL as the highest prize it's the way it is. It is sad, especially for teams that aren't in that bracket only hoping for a Sheik or something equally disruptive to get them there, but thus is modern football.