Question about beginner chord transitions

I haven't picked up my guitar in years so I'm starting from scratch to relearn.

I'm learning a song with a C, G, Am chord progression and had a question about which fingers to use. Chords C and Am share 1st finger on 2nd string 1st fret so it's easy to transition back to C from Am, but when I go from C to G I'm supposed to move my 1st finger up to 5th string 2nd fret. This seems like a waste of movement. Does it make sense in this song to instead form the G chord with 2nd finger on 5th string 2nd fret, 3rd finger on 6th string 3rd fret, and 4th finger 1st string 3rd fret?

I mostly want to know people's opinions on if this is a bad habit to get into, or if making this intuitive chord change is a good thing.