This is an interesting topic.
I would say there is no right or wrong. It is what makes you feel best.
As I do not want to speak on your behalf, if my wife were in the same boat, we would put it in our profile.
We know that we are already rejected for lots of reasons. We realize that we are not going to be everyone's cup of tea. Because of that, we would want to weed out people at the very beginning. Some would say we would be considerate in telling upfront. We would agree with that, but also state we are being selfish. Our time is important to us. If the person is going to keep going and going and then reject us at the last minute, we would have wasted our time.
One scenario we had that was somewhat similar was a couple that was not really a couple. What you two are bringing to the table is something that is not the norm. This other couple that was not a couple, when they got in touch with us, they were honest. They stated upfront, we are married. We are just not married to each other. Both of us are married to someone who is paralyzed. Their spouses were wheelchair bound. They stated, one spouse knows and is ok and will voice verify, and wants his spouse to live life. The other spouse, really knows, but doesn't want to know.
We wound up meeting up with them. We never called the spouse to verify. Our thoughts were simple. If it was a scam, it was one hell of a scam. The level of detail was just to good in our eyes to be a scam.
We thanked them for being upfront and letting US make a choice.
Perhaps that is why I'd suggest mimicking their solution.

