The preview keeps looping, and the Skin tab shows weights at once
Looping stays on until you switch it off; the Skin tab shows the weights as you open it and tells you when painted weights need a new bake.
Looping: the preview loops every clip, one-shots included, until you switch ↻ off yourself, and then it stays off when you change clips.
Skin tab: opening it now shows the weights right away. After you paint, the editor tells you that your downloads still carry the old weights and offers ▶ Bake again, so you always know when a new bake is needed.