The important fact is this: the options seller wants to keep the credit, so usually he hopes to hold the option until it expires, because early closing a short option is never a good idea because one would lose much.
Since early exercise and assignment isn't possible with European Style options, then this is a benefit for the seller, because he is free of the impact of what volatility changes otherwise would play if he would be early assigned.
So, IMO a major/remarkable/important benefit of European Style options for the seller.