Both Mk1 & 2 do... And both of them suck at it.
I'm fairly sure that boarding drone and many missiles and maybe some other, have a hidden
evade chance to them. This allow them to 'evade' defense drone's shot— Here's a vid of Breach missile 'evade' my Def MK2 laser shot.
(listen for the 'miss' sound fx when the 2 collide)
The higher 'grade' missile seem to be able to do this more often than the lower grade one; there this 1 battle that I got hit by Breach 4 time in a row while Def MK1 is running. It pissed me off so much!
I also have a feeling that this happen more often in nebula... Which kinda make sense in a way if you think about it.
Maybe it was just my imagination, but I have a feeling that def drone seem to work better on some ship then the other; probably have something to do with the size of the ship...