Hmm, when starting to use this exceptional feature the same idea came into my mind.
And in principle I'm sure / I know it's possible.
On the flipside you'll get flooded with Search<0> .. <57> - Tabs soon !
For me it's much more annoying fighting against (closing) the always newly created tabs...
So I decided to get used to re-check the complete dialog carefully before activating 'Find/Replace'.
It's anyway better, because at the beginning I missed e.g. the (extremely powerful) 'Color'-coding settings quite often and got 'no hits' even with the pattern I want to search just in front of me...
@SlickTeam: Would be great, if the 'Color' button is set to e.g. 'Modfied' color if s.th. set (@see File tabs).
HS2