You're the one making a big assumption: that this is a short term movement in the dollar.

Trump has made it clear he wants a cheaper dollar to make US exports more competitive and JPM is forecasting another 10% drop in the value of the dollar this year.

Just because the dollar and euro have been roughly level for over a decade doesn't mean that will remain true, currencies often go through pretty fast changes in relative values every few decades as their financial and geopolitical positions change. The pound drop around 2007~2009 is a good example of one such sudden but long term price shift.