I think it depends on the weather as well. When its cool and the banana isnt gonna grow or grow very slowly after the transplant,i think that planting immediately is risky due to risk of rot. When its hot and they are growing well,its surely better to plant right away to avoid any setback and the wound will heal fast if the plant is growing fast!
I only have experience with planting freshly dug pups in warmish weather as i find it too risky to dig up pups in cool weather. I do have potted pups that have first dried some in cool weather but the response even of those,isnt ideal either,waiting for warm weather to start doing something other than dyeing back. In warm weather,i have positive experience with both fresh and pups that had dried some
