This is a difficult to answer question. It can really boil down to a philosophical/subjective argument.
That being said...
I recommend the rule "When in Rome... Do as the Romans Do"
Which means if you are in Qt land, code as the Qt'ians do. This is not just for readability/consistency concerns. Consider what happens if you store everything in a stl container then you have to pass all that data over to a Qt function. Do you really want to manage a bunch of code that copies things into/out-of Qt containers. Your code is already heavily dependent on Qt, so its not like you're making it any more "standard" by using stl containers. And whats the point of a container if everytime you want to use it for anything useful, you have to copy it out into the corresponding Qt container?
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