I wouldn't reuse synthetic corks for long term storage, but I do save mine. I wash and sanitize them and use them for short term "work in progress" applications. The corkscrew only goes half way through the cork so I just make sure I get the unadulterated side down into the bottle.
We drink a fair amount of Rossi Chablis in the 4 liter jugs because A) we like it and B) I can always use the glass jugs. I often re-bottle the wine into 750ml bottles so I can use the jug for a project. Also, it's easier to chill a bottle than a jug. This wine always gets consumed within a few (okay more like 2) weeks so I figure the risk of infection is small and the potential product loss is minor.