Pet Peeve - blocking the lane to make a left turn

Imagine a Road Alpha with a north bound lane and a south bound lane.  Then there is an east-west Road Beta intersecting this north-south Road Alpha.  But the intersection has only a two-way STOP signs on the road Beta and the road Alpha has the right of way.  So in order for a vehicle from Road Beta to make a left turn, both the north bound lane and the south bound lane of the Road Alpha has to be clear.  And in some instances, the inconsiderate vehicle from Road Beta would cross the intersection when only one lane of Road Alpha has a break in the traffic and it would sit there until the other lane opens up to complete a left turn.   So that means this inconsiderate vehicle will end up blocking the traffic of one lane of Road Alpha as it sits there waiting to complete its left turn.  Why can't this vehicle wait till both lanes of Road Alpha to open up before even crossing the intersection to make a left turn?  Because the driver of this vehicle is impatient and inconsiderate.  He does not care that he would sit there blocking the traffic.  How rude!