The actual behavior of the protesters seems to match your third paragraph much more than your second paragraph. They got into the capitol building and then... just kind of wandered around. Took some selfies. Stole some memorabilia. Nothing about their behavior suggests that there was an organized plan to actually take over the USG, or that they protesters themselves had any idea what to do after they broke in.
Some have suggested that they wanted to burn the ballot boxes in an attempt to prevent counting them. The problem is that, even if they did, it wouldn’t matter. The counting is just a formality and they can declare a winner without them. They already know who won.
