Sorry that we made it confusing.
Yes!
For it to fit together in a musical way and be in the same scale you have to raise the root in the same way the capo does for the guitar.
You play these as roots to the chords the guitar plays - Those are the raised versions.
So these are the roots to the initial chords if they were played without capo:
And then you just take this form and move it up 4 frets like the capo does:
And you reach the version the guitar plays with capo!
I hope it’s clear now 