There are 2 basic types of issues with corked wine. One is that there is bacteria on the cork that ruins the wine and the other where there is too much air getting through which makes it stale and turns to vinegar. Cork by it's nature allows the wine to breath which is part of the aging process for some wines but when there is too much breathing so to speak it is a bad thing and the wine goes bad.
This also applies to whiskey but there has not been much documented about it.
I personally think the only issue you will have with a corked bottle of whiskey is when too much air gets in that it will make the whiskey bit stale. However the issue of bacteria is not lightly to happen becuse of the high abv which will kill off any bacteria in the first place.
Why do you think they use whiskey on wounds in Westerns
Further whiskey will take years and year to go stale and still can be drunk where wine is totally foul.