Stuart:
It is out of place, though not as much as you suggest. As you said, it can't go where the sentence implies, since Peter lacked a costume at the time. The error arose because the profile was originally much longer and had to be trimmed down; at some point during that process, the sentence order got rearranged, and what should have been the latter half of the sentence which began that paragraph became the former half. The Danny Rand encounter doesn't come between Learning Curve and Double Trouble, because at the start of Double Trouble Ben Urich has only seen Spidey up close during the Doc Ock fight, according to his dialogue with Jameson. He hasn't interviewed him yet, or else he would cite that encounter (and knowing what Spidey's voice sounded like) while arguing the bank robber was an imposter.
At the end of Double Trouble MJ dumped Peter, and the impression given by the Venom story suggests this follows on pretty well immediately. True, the Danny Rand encounter is so brief, it could have been slotted into a gap early in the Venom tale, before Peter lost his costume, but given Peter's state of mind, I doubted he'd be in the mood to spend time giving Urich a coherent interview - he was too busy moping. It had to happen before the Kingpin tale, as during that story Spidey's name was mud anyway (so JJJ's glee at having something negative to say about Spidey would have been out of place) and that story resolved itself with JJJ re-evaluating his hostile stance towards Spidey. Hence the decision was made to place it just after the Geldoff encounter, when he had finally gotten MJ and his costume back, and was in a better frame of mind. However, as stated, at some point the two halves of the sentence in the profile got switched round - it should have read
"Shortly thereafter, Spider-Man got back together with Mary-Jane; offered guidance to unstable...; and stopped martial artist....during a street fight."