It's a very different question with the boat being over a 1,000 miles from anywhere with the "what do we do now".
There's the issue of fear of approach -- if you mean that, it's a different bundle of issues that are situational.
There's the issues of e "Zorba the Greek" plunder -- that's both an emotional, legal, and personal issue?
There's the salvage and maritime rights of taking the abandoned vessel and "claiming" her, subject to various laws?
I think the first issues would be what duty do you have to i) inform the authorities by SSB, satellite phone, VHF DSC alarm, or using your message capability on your inReach (for example) tracker. I'd document the event let people know right away.
Approaching closely enough for contact or boarding would depend on
- The seaway;
- How the situation felt -- which is vibe thing having to do with the condition of the boat, the prior weather patterns, etc. ; and,
- Who else was on "our" boat. There are groups of people I've sailed with that I'm comfortable can handle themselves -- and then there are groups that I wouldn't want to take to a bar fight ;^))).
If the boat was really in pristine shape, and we had crew, and we were inclined, I think I'd put a couple of the crew on the boat and sail it to port. Then I'd see what, I'd see.
I have a friend that faced this same situation, he elected not to put two of his four crew on a 40' boat about 600 miles from St. Marteen. Later, he lamented not "claiming the salvage" just to see what happened. As he said, he'd like to really understand the story, more than get anything out the act. Ultimately, he just didn't want to chance that the weather would change, or the boat would turn-out to have something that he didn't understand wrong with it. (Like a keel that was only apparently in attached to the hull, for example.) He never found-out what the story was with the vessel, it wasn't US documented.
From my standpoint, I'd not start expropriating items off the boat unless we needed them to survive. I'd be VERY cautious about water, food, because I'm just suspicious.
Those are my musings from the comfort of my desk chair ashore. ;^)))).