LD Carlson1 X Bronze PVC Shrink Capsules- 30 Per Bag 1 - Pack Gold 4574a 30

Hi, do these fit these types of corks? https://www.amazon.com/jelinek-cork-agglomerated-tasting-plastic/dp/b01jsogk4i/ref=sr_1_19?s=industrial&ie=utf8

How do these tops work? Do you still have to use a cork? Also will they fit on any type of wine bottle? Thanks

will these fit a Woozy Bottle, 12 Oz?

will these fit a 32mm white wine bottle?