With the newer cambered sails that let a junk go to windward about as well as a Bermudian, I wouldn't think that a junk is any more susceptible to lee-shore clawing than a BR.
Getting suddenly stuck in a seaway with no wind and a nuclear submarine bearing down on you, or with a current setting you against the rocks, is the same in a Junk vs any other floating log. Having been in each of those positions, I don't wish to repeat either. I'm putting in an electric engine that'll give me 10 NM range in a pinch. I
There are plenty of people who sail without engines.
Then again, there are plenty of people who smoke cigarettes and don't wear seatbelts, and people who hike tall mountains over rough terrain to enjoy the peace and quite as well as the challenge. We all weigh our risks and takes our chances for every activity. It looks like you've already done the weighing for the BR and determined you don't need an engine - I don't see that the junk changes the factors in your equation.