As long as you can play cleanly, with fretted strings ringing clearly, and without fretting fingers touching neighbouring strings - and your nails really ARE as short as you can physically get them - it doesn't matter how you fret the strings.
You'll find your fingers loosen up after a while, and your pinky won't need to bend back so far to fret the top string. You should be able to eventually fret it properly with the fingertip.
The main consideration is that your nails should be short enough that they don't touch the wood of the fretboard when fretting strings.
You're right about the C-G switch, btw: useful to persevere with that fingering. But don't neglect this 4-finger G chord:
... good for changing to and from D, and quite popular in rock.