-Wastegate is on the turbine side and is held closed by a spring until boost over comes spring pressure. Once boost reaches that pressure it bypasses the turbine, thus limiting boost. IN THEORY if you have a 5# wastegate spring, the max boost you can make is 5#.
-BOV just dump boost when throttle blade is closed so it doesnt backfeed the compressor and try to spin it backwards (surge).
-Wastegate spring wont affect spool time. Since Wastgate is always closed until boost hits certain pressure.
-Engine wont be under constant boost because there is not enough exhaust flow at low load/idle conditions to spin the turbine fast enough to make boost. Example: Blowing on a toy pin wheel. Harder you blow the faster it spins. You can demand whatever you want but until you blow harder, it wont spin faster.

I assumed Wastgate percetage PID meant that was how much the wasgate was open, but it means the opposite?