I haven't seen many straight strapped podaegi's with padded to wrap straps so I thought I would make one and see if it was comfortable. I used a Jade mild which is a lovely earthy pink. I found the straps worked well although I am going to shorten the padding some more since I wear the podaegi high iin a rucksack carry and the straps need a little more room to spread out. It worked out very well for a front carry and the traditional Korean back carry.
You will end up with unpadded wrap straps on your shoulder for the two carries illustrated below as the padding will end below your shoulder. I don't normally like unpadded wrap straps but it is fine here where the weight of your baby is distributed across your torso rather than on your shoulder. I aslo think that in the torso carry with shoulder support (Korean carry) with the wrap straps spread the straps sit better if you pass them over than under baby's legs. Passing them over/over didn't seem as secure with the wrap straps as it does with the padded - but perhaps that reflects my wrapping skills.
I love to sew. I have five curious and active kids who keep me busy!