If the magma was under enough pressure to burst through solid rock of the type created when it cools then it would have already burst out, tunnel or no tunnel.
However, if the pressure should increase in the future, the borehole is the likeliest route for the lava to come out, as this is probably now the thinnest point in the magma-chamber wall.
The last (optional) step is for the drill operator to piss on the drill core. When the geologist opens the box of drill core, the first thing he does is lick the rock, because you can see the colour variations in wet rock a lot easier than in dry rock.
And then the geologist says, "Someone's been eating asparagus!"
Scientists will study your brain to learn more about your distant cousin, Man.