I can remember having seen a closed question with two reasons listed below it. Not sure if it was on GL or some other SE site. I don't even know where to look for that now.
Q: Is this feature available on GL? How can we get it working?
I've just went through the close reviews and voted for close on this question: Leute v Menschen v Völker?.
Now, it turned out that I made the 5th vote that would close the question. While I'm — naturally — totally fine with it being closed for the reason I chose (general reference — and I don't think the current only answer adds anything that couldn't be found in dictionaries), the actual close reason says that the question is unclear.
The first close voters chose that reason as the question was indeed unclear as of writing the initial question. It had been edited a few times since, and I guess the question is very clear as of now.
Now, I can remember having seen quite recently that a closed question had two different close reasons listed below the question. I can't say for sure if this was on GL or another SE site, but I surely considered this a significant improvement.
We certainly do not always agree on the exact close reason. While it most times doesn't really matter (for instance, the reasons "general reference" and "proofreading, translation request" are often both true at the same time), it comes in handy for those cases where we see quite different issues.
In that case now, however, an outdated reason outnumbers the ultimate reason.
I'm not asking how we should properly handle this. Luckily, this doesn't happen that often. What I'm interested is how we can get the second close reason showing up.