He's right.
Thing is, Caprice already needs to be rezzed at the instant the runner is done with the last piece of ICE if you want her ability to trigger. This is different from Ash, for instance - Ash triggers on "a run is successful", and there's a window for abilities after the last piece of ICE but before that moment. Same thing with Jackson usage, he can be rezzed and used in that same window you'd be rezzing Ash.
(also, no need to start a new topic per question, especially if it's something relatively simple like this - if you don't expect a long discussion coming out of it, use this thread instead 
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