I use a primary iTerm2 window, and some further iTerm2 windows which display specific information (e.g., like a dashboard). They live in well-visible positions on my screen, and do their own thing non-interactively. I never need to Cmd-Tab to them.
That said, of course (by Murphy's Law) whenever I do Cmd-Tab to the single iTerm2 icon showing up in the Cmd-Tab selection, I always end up in one of those windows, not in the one I constantly type in.
Is there a way to change this? I am aware of questions like this, but that's not it. My question is not related to screens, displays or spaces. I could imagine having some tool to mark a long-running window with some hypothetical "ignore this window in Cmd-Tab", or maybe some arcane setting in iTerm2. Those windows all have their own iTerm2 "Profile", but I could not find a setting obviously related to this in the iTerm2 profile settings.