ATCO1962, I would assume that using this phraseo would be enough:
CTL: P4*** are you ready for immediate T/O?
PIL: P4***: Affirm, ready immediate
CTL: P4***, cleared immediate T/O RWY...
As for the first part of your answer, I do agry.
Only in that case we don't really know what took place! (and probably never will)