I literally rocked an old laptop for years like this, lol.
Pros:
Comes with 2 screens by default
Cons:
Overheating
Some models refuse to start if a faulty battery is detected, and some models will use battery even while plugged in, and worst of all some batteries are inside the laptop case which must be pried open for access
And some models work without any battery at all, my dell XPS circa 2008. I am still amazed at that. It still runs too, I just retired it from server duty a few years ago once I got a dedicated server.
Actually, I was referring to that with the comment about access to the battery. If it still uses the battery while plugged in and won't start from battery failure, removal of the batter is a possible solution that fixes the problem.