Would echo what wannabeSE notes above and think it's important to keep in mind what the deflection limit is actually going for.
Seems to me the portion of D they're really going for with the L/240 limit is the portion that occurs long-term and/or after attachment of nonstructural elements. AISC 360 notes this in commentary to Chapter L. ACI notes this in their deflection limit table (table 9.5(b) in 318-08) and notably does NOT include full dead load in any of their limits in that table. You get to use a reduced dead load in wood if your moisture content is low enough so creep isn't as large a concern (footnote d in IBC 2009). None of these would make any sense if you're trying to limit deflection for the full dead load.
To respond to akiddo's last hypothetical, AISC 360-10 commentary to Chapter L - Design for Serviceability specifically notes that the concrete would not be included:
"The dead load effect, D, may be that portion of dead load the occurs following attachment of nonstructural elements. For example, in composite construction, the dead load effects frequently are taken as those imparted after the concrete has cured. For ceiling related calculations, the dead load effects may include only those loads placed after the ceiling structure is in place."
At least for most steel structures I do, the 'dead load' that occurs after attachment of nonstructural elements is either nothing or close to nothing as steel doesn't experience significant creep and the nonstructural elements are usually the last dead load installed.