I don't particularly care about the League Cup or even the FA Cup. If the FA Cup meant something, Wenger wouldn't have had airplane banners demanding his resignation. If the two trophies meant something, Ten Hag would still be in a job.
It's a nice to have, not a must have. Competing for and winning the PL and CL is what I care about and deep down even the domestic trophy hunters care about. If we're competing for the two and we're getting close or winning it, then I'm happy. If we fall off for more than 1 or 2 seasons and end up no longer competing for the two prizes, no amount of FA Cups and League Cups will change that he might not be the right man to get us over the line.