I don't see a problem if you are single and don't care what potential employers think. And sure, if you aren't single then you shouldn't have the app installed in the first place (preempting this argument). But it still makes Facebook more of a landmine for less scrupulous users and they do make up a significant part of the population.
My only point is that some may care, I have no idea if yours does or not. Personally, I wouldn't work for an employer that looked for such things, but I am also a very private person and would never use an app like that.
Does the Graph API allow you to find all app's being used by a specific person?
This topic keeps coming up. If you can see all app's installed by someone then you might have the point.
If you can't then an employer would need to search for this specific app and find your account. I guess it is possible that some employers may have a blacklist of hundreds of app's but I would have thought it would be more trouble to maintain compared to the value of having it. Especially considering how tomorrow I could launch "BangWithBuddies" and this app would need to be found, flagged as not appropriate for employees and added to a search list.
If an employer is going to this much trouble to scan for what they believe is moral correctness then they probably aren't worth working for.
Looks like indeed, you can! Use the graph search for "Apps that _user_ uses", or it looks like you might be able to use this url (might have to have graph search access) https://www.facebook.com/search/**userid**/apps-used
You are probably correct and I agree with you about working for employers like that. I admit to not being a facebook expert and probably shouldn't have commented. But it seemed obvious to me that there are problems, contrary to what the OP says, for some people.