Yes... but YOU noticed it and picked it out among other words...
Which is the point, really...
You are the one Zig, that noticed how to get out of your own way, in order to allow your H to be the best father he can be, even if it's not as you expected.
Inga, it will be up to you to figure out, as Zig did, how to loose your expectations about how your H will be a great father for your D... As you described, your D thinks your H hangs the moon...
Yet... you describe how busy your life is... OF YOUR CHOOSING... and how relaxed your H appears to be... to you... as he hangs with his buddies, drinking beer...
And your D... still thinks he hangs the moon... and might even think he hangs the moon, even if she has no light in her room to do her homework or doesn't learn how to play the piano...
Your H might have agreed to it... but until it serves him to do the things you expect of him... he will continue to be unmotivated to do them...