I dont think Poch disregards "cups", but rather prioritizes the top 4 for commercial reasons and in terms of player retention. When pressed by media, often they are leading questions. Yet, he will in his own way say time and again, of course we want to win cups, silverware etc.
Ideally, we would have a squad depth that could do both, but that is easier said than done. EG, this year, some 38 injuries, no new ground finalised, and yet we find ourselves 3rd on the ladder. I think you are being harsh in regards as to what has the last 4 years delivered mate. It has delivered a team that is competing the the PL consistently, has kept the core of its key players, has a new stadia around the corner, and a bright future. So in essence the CL revenue has been a massive factor overall.
In addition, how much of a factor for players is competing in the CL year in year out ?
Would a League or FA Cup be nice ? Absolutely.
Frustrated as we are, I can see Poch delivering success in the years ahead.