I have my own thoughts on this, let the dribble begin:
In theory, if the amount of "air flow" (ie. volume of air) remained the same and the restriction (ie back pressure) was reduced, then the pressure in the system will also drop so, in theory, yes, your boost pressure should drop. BUT.....
Throw into the equation, a car, a turbo, cams, valves and an exhaust system and all that all goes out the window because if there is less back pressure, the exhaust gasses will be flowing faster which in turn will make the the turbo spin faster and make it pump more air, the more it pumps into the engine, the more comes out the exhaust manifold to spin the turbo up more and so on and so forth bla bla bla...so even if boost pressure remained the same, the amount of air flowing through the motor is increased (hence the increase in power obtained from a free flowing exhaust system).
I think the usual increase in boost pressure that comes with a free flowing exhaust is something to do with increased speed of the exhaust gases which spin the turbo faster and the wastegate only being able to "relieve" the exhaust wheel of a certain amount of airflow (ie boost creep).
Apart from all the above, add some big words like "volumetric efficiency" and it all gets too confusing.
You put an exhaust on, your boost will increase, enjoy it

. If it decreases, I would suspect that there was something not right elsewhere in the system like the blow off valve not being able to hold the extra airflow and relieving the pressure.
I need to go lie down now, my head hurts.