Yes, but I felt like it was for very different reasons.
Pep needed to keep 100m pound bench warmers happy, so more games, the better.
Mourinho made it clear that he viewed the League cup as the springboard to bigger success right from his first stint at Chelsea.
ETH values the league cup because that seems to be his ceiling, especially with Arsenal well out of sight in the league now. So it's no longer a matter of just waiting for the Pep era to come to an end.
Tbf that's not too different from Klopp, who didn't care much about the league cup until he realised that with Pep around, that's his best hope for silverware and started going all out in it.