Which part?
Um… the part I highlighted in bold.
IMO saying that everyone will be “better off” under laissez faire would generally be considered a utopic statement,
What is a “utopic statement?” From context, it seems to mean “a statement which projects an idealized fantasy, rather than an accurate model of what the resulting reality would be.” Is that right?
if for no other reason than that an Objectivist’s definition of “better off” might be far different from a non-Objectivist’s.
In this context, a political/economic one, the Objectivist definition of “better off” is “more able to function and live as a man qua man.” Anyone with a different definition of “better off” would be attempting to live as a man qua something else.
My point? The Objectivist definition of “better off” is correct and other definitions are incorrect. Thus, other definitions of “better off” don’t merit consideration unless they can be objectively proven to be superior to man’s survival qua man.
Likewise, claims that laissez faire will result in, say, a decrease in crime or greater charity would also be utopic. Not saying that these claims wouldn’t be empirically true, just that they don’t automatically follow from laissez faire theory.
I don’t understand what the distinction you’re drawing is. The fact that crime will decrease and that people will have more money to spend on charity and less psychological factors which discourage them from spending on charity are most certainly part of Objectivist Laissez-Faire theory. (maybe you haven’t read these parts?)
But these utopic predictions aren’t a necessary part of laissez theory (though the maximal opportunity/freedom likely is) AFAIK. If I’m wrong, feel free to correct me 
That depends on what you mean by “included in the theory.” If you mean, will there automatically be less crime and more charity? No, of course not. It is by no means automatic. Marxists, for example, believe that economics are primary in driving human behavior. Objectivism certainly does not take this position.
Rather, it acknowledges that a non-laissez-faire society does provide incentives for crime and disincentives for charity and that removing these will tend to result in less crime and more charity. That’s not “utopic,” that’s a fact.