While the euro may have a slightly higher exchange rate to the USD, it is just as weak if not weaker.
The reason for this is because both currencies are devaluing, ...however, as a percentage of GDP, the USD is inflating at a lesser rate, ...and it currently enjoys world reserve status, ...until it doesn't anymore.
Despite it's lower exchange value, I believe the USD has a longer shelf life than the euro, ...but I gladly accept payment in euro over any other fiat at the moment.