It's more than just from a financial pov. It's more prestigious to win and the League Cup's 2 legged semi final is a massive pain in the arse, coming off the back of a busy Xmas period. We don't have 2 x £40m players in every position like City - we have 2 specialist full backs at the club and very limited attacking cover, it would be a needless risk for our League hopes to take the League Cup seriously. If we weren't genuinely in with a chance of winning the title then fine, concentrate on the Cups but I couldn't care less about them this season. I'm sure Klopp is more than a bit annoyed at our FA Cup draw too, as he now almost has to play a fairly strong side.
I said before, I can see us treating this as a bit of a winter break. FIFA rules mean we have to travel out 3 days before the 1st game and with the standard of competition we're likely to face (particularly in the 1st game), it'll be a great chance to give a few key players a break. Ideally you'd like to go full strength in the final (assuming we make it) but I wouldn't be surprised if we see something similar to yesterday, with 3 or 4 key players being rested with one eye on Leicester on Boxing day.