A trophy is only prestigious because of its history and the clubs who participate. The conference is like winning a participation trophy, the stated reason for starting it was to give small leagues a chance of winning something. For a premier league club it is more of a hindrance than anything else.
What's your point? I could tell you who won the last 10 champions leagues and europa leagues

but aye so you can remember who won this fairly new competition, that doesn't make it prestigious does it?
Let's see how you feel if we are picking up injuries midweek at Zimbru Chisinau or Zeleznicar Pancevo, while we fight a relegation battle due to fatigue.