Interesting question... Not ever having been a Han fangirl (left that to just about every other girl I knew who was into SW :P) my answer might be a bit shonky, but anyway. I think that yes, Han would still shoot first at the end of RotJ. At this point he's starting to become more aware of galactical politics and consequences but at the core, Han is one of the characters who changes least through the OT. His reaction in ESB when Vader is revealed on Cloud City is to instantly shoot - doesn't matter that he knows blasters are useless in the situation, that Leia is right next to him, etc, his instinctive first reaction puts that blaster in his hand. Given that in essence next to no time passed for him while frozen in carbonite, his character hasn't gone through any major changes between this point in Empire and the end of Jedi. I think that as the EU goes along, his reactions would still put the blaster into his hand... Han is always far less trusting than either Leia or Luke. And Han is in essence still a shoot first and ask questions later kind of guy, especially if it came to his safety or that or his family. Hopefully this ramble makes some sort of sense... I think the situations in which he might have the opportunity to fire first (without intervention from his force weilding relatives or bodyguards, etc) lessen as the EU timeline keeps going, but I still think that if such a situation arose, he's still shoot first.
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I think that yes, Han would still shoot first at the end of RotJ. At this point he's starting to become more aware of galactical politics and consequences but at the core, Han is one of the characters who changes least through the OT. His reaction in ESB when Vader is revealed on Cloud City is to instantly shoot - doesn't matter that he knows blasters are useless in the situation, that Leia is right next to him, etc, his instinctive first reaction puts that blaster in his hand. Given that in essence next to no time passed for him while frozen in carbonite, his character hasn't gone through any major changes between this point in Empire and the end of Jedi.
I think that as the EU goes along, his reactions would still put the blaster into his hand... Han is always far less trusting than either Leia or Luke. And Han is in essence still a shoot first and ask questions later kind of guy, especially if it came to his safety or that or his family.
Hopefully this ramble makes some sort of sense... I think the situations in which he might have the opportunity to fire first (without intervention from his force weilding relatives or bodyguards, etc) lessen as the EU timeline keeps going, but I still think that if such a situation arose, he's still shoot first.