Unless the peg breaks, the currency doesn't "slide."
ČNB actually intentionally weakened CZK in 2013 and for several years after. And in the long term CZK appreciates against EUR rather than the opposite.
"struggling to keep parity" is just not true.
> if the period is longer then invariably
That totally incorrect for most currencies in the countries which joined the EU in 2004 or later. The Croatian Kuna was never free floating and pegged to the Euro/DM since it was introduced 1994.