Our new apartment doesn't have the plunge style drain cover in our bathroom sink. Instead, it has a cover that hinges in the center, rotating around that point. So it physically has to be pushed in order to close.
However, I think the seal is too large and it can't easily be closed.
Our drains have to stay closed when we're not using them because the climate that I live in (the desert) means that when it gets warm the water traps dry up which allows bugs to crawl up from the sewers and out through your drains.