All I can say is that it takes a large subset of kdelibs/kdebase to do that:

$ ldd konqueror |grep trin
    libkdeinit_konqueror.so => /opt/trinity/lib/libkdeinit_konqueror.so
    libkonq.so.4 => /opt/trinity/lib/libkonq.so.4
    libkutils.so.1 => /opt/trinity/lib/libkutils.so.1
    libkparts.so.2 => /opt/trinity/lib/libkparts.so.2
    libkio.so.4 => /opt/trinity/lib/libkio.so.4
    libkdeui.so.4 => /opt/trinity/lib/libkdeui.so.4
    libkdesu.so.4 => /opt/trinity/lib/libkdesu.so.4
    libkwalletclient.so.1 => /opt/trinity/lib/libkwalletclient.so.1
    libkdecore.so.4 => /opt/trinity/lib/libkdecore.so.4
    libDCOP.so.4 => /opt/trinity/lib/libDCOP.so.4
    libkdefx.so.4 => /opt/trinity/lib/libkdefx.so.4
      libtqt.so.4 => /opt/trinity/lib/libtqt.so.4

All of these are included in kdelibs, therefore not requiring kdebase at all.  
 
All I can say is that it is not a simple proposition.  One person wants konqueror, another wants konsole and kate, yet another will want something else.  Disk space is pretty cheap.  It seems like a lot of work for little advantage.

I am aware that it does drag in a hefty bit of libraries. Here is a quote from a user who mentioned this on reddit today:

"So? Start with Trinity, strip away everything that isn't needed for Konqueror 3 functionality, and package it? I don't *care* if the end result is half a Gig in size - that doesn't matter. The functionality does"

Essentially Konqueror doesn't need the rest of tdebase, and most of what it depends on is from tdelibs. What it does depend on can be packaged in with it.

Konqueror on my machine pulls in 72 different libraries, as a comparison, firefox pulls in at 57 and mplayer at 142
 
I think it might be worth considering,

Calvin Morrison