I don't rate all silverware equally. FA cup is the only domestic cup that has any value, in my book. I think few people outside England cares one bit about the league cup.
There are only three domestic trophies to win in England. The cups, like the champions league are a bit of a lottery. You can win six games and win the fa cup, six or eight games to win the league cup depending on when you enter the competition. So in reality it takes the same effort, the league cup may be harder as you potential play more games, have to squeeze it in midweek and play home and away in the semi final. A trophy is a trophy and I'll take them all.