No. This has already been tried. Z4 temp/perm root fails.
The Thunderbolt will require a different method to obtain root. This is being worked on diligently by folks on XDA forums. They have perm-root and instructions should be available this evening.
I am not sure how complex the instructions are or if we will have a one-click method. Also, team unrevoked has stated they will be working on root for the TB as well.