Long term I think with the fixture schedule and the CL clubs constant complaining it'll either be what is suggested above or the cup scrapped all together. That would be a disaster as the FA Cup remaining as the only domestic trophy would see the big boys going full strength from the off making it impossible to win.
The League Cup should be like the Europa Conference in that it gives smaller teams the chance to win something. I would certainly celebrate winning it as I imagine WHU fans did in the EC which is in all honestly a 3rd tier competition.