When the field is blank in the post settings, the output should also be blank. Currently, if no date is set in the post, January 1 1970 is used on the front end.
It seems to force the display of the date if a format is set in the field connection or shortcode. If no custom format is set, then the output is blank, as it should be.
It looks like the standard feature of Beaver to return a standard date (Unix epoch) when there is empty data. If you use the helper shortcode [rwmb_meta id="event_date"] without the builder, it does not show the standard date like that.
Well, Beaver Builder doesn't know it's a date or do any formatting. That's totally on Meta Box. So you probably want to fix your integration to work correctly.