Earlier quoted context omitted.
The usual way to handle the "different system" issue is to have on-calls in each team, so you could loop them in for their stuff or even transfer the ticket and go back to sleep; and on-call-focused documentation within teams so you can have some notion of every component that they are not intimately familiar with. I hate on-call; it doesn't stress me out but I'm generally very protective of my personal time, especia…
I have found in my career that being too good at on-call/L3 escalations only makes them come to you more. Teams that have slopey shoulders and phones that seem to always go to voicemail.. don’t get reprimanded, and your team gets to keep playing hero.
The world breaks everyone.