> Schengen does not abolish visas across member states, as they had already been non-existent.
I think that's not entirely true, as countries like Switzerland or Norway are not part of EU, so they have had visas which were abolished with Schengen.
It's probably even more complex than that. Just took a quick look at the original Schengen Agreement: they only talk about harmonising visa policy. According to Wiki, visa policy is still set by the EU and all members of Schengen Area must abide by it.
