Generally speaking, if you size a turbo so that boost, drive pressure, EGT, etc. are all at optimum at WOT, max load and max engine RPM, that turbo will be an absolute dog at off-boost conditions. It will take forever to spool up, and you'll smoke like a freight train waiting for boost.
The wastegate is used to allow an acceptable sizing compromise. A wastegated turbo is usually sized to give quicker spoolup and sufficient air to avoid lotsa smoke at less than Warp 9 conditions, then the wastegate opens to avoid turbo overspeed, overboost and excessive drive pressure at WOT, max load and max engine RPM.
Rusty