Exactly.
If you get to clinically know a patient, then perhaps after several times with seeing the patient can you determine the true extent of their bluffs.
However unfortunately, once you let them in a few times into inpatient, you've reinforced their desire to use a suicidal threat.
IMHO the best way to this should be handled (but this will not work with our current medical/legal infrastructure) is if a person is known to use suicidal threats, and once a doctor (or for argument's sake let's say 3 doctors) inspected the person, found them to not suffer from severe mental illness, that person should be discharged, and if the person is known to cause similar disturbances again that person should be arrested for using terroristic threats.
This unfortunately rarely happens. Why? Well doctors aren't supposed to be calling law enforcement & divulging the person's private information unless someone else is put in danger. In this case they are putting themselves, not others in danger.
Another problem, if you're in a psyche ER and you call the police, telling them the person is causing a disturbance, the police will tell the doc to shove it, they're not going to take the person. Its a turfing issue. They're not going to take someone claiming to be suicidal. As a psychiatrist in an ER you're stuck.
And there's no law or organized mental health infrastructure in several areas to deal with this situation.
In part, IMHO why there's no infrastructure is because of the lack of studies in this, and there's a lack of studies on it because hardly anyone is willing to do a study on this high liability issue.
Where I'm currently practicing, its a forensic psychiatric facility, and we got plenty of people who pull this type of thing, though in inpatient, and on a forensic facility, so the privacy issues are not as extensive. Forensic patients sent to such a facility are ordered by the court to be evaluated for legal purposes, and the court has the right to look into their records. In this particular case, if we got someone malingering, that can be thoroughly examined on the course of several days, psychological testing can be done to see if the person is faking symptoms (e.g. the SIRS, M-FAST, MMPI) and in this case, the records are reviewed by a judge. There's also an established procedure in the institution where such a person will be evaluated by a non-treating doctor who will then write a report as to their professional opinion whether or not the person if faking symptoms that will be given to the judge.
And the local jail also has a well established forensic psychiatrist who also calls people known to make fake suicidal threats on their bluff. E.g. the person calls a suicidal threat, they're given a suicide smock (basically a paper gown), and given liquid food or a type of mush like burger which well tastes pretty gross.
However these measures which have been put in place where I'm at are the exception, not the norm. Where I did residency, if someone in jail pulled a suicidal threat, they were immediately brought to psyche inpatient--which actually rewarded the person since the hospital is a nicer setting. Then the doc determined the guy was malingering, then he's brought back to jail, then in jail he pulls a suicidal threat again, and he's brought back to psyche inpatient, yada yada yada....
Too bad you can no longer truly call their bluff and lock these guys up in the state mental health facility indefinitely.
Actually, in some cases, that's the person's game. In the case I mentioned above where the guy was planning a drug deal, he wouldn't want to be in the facility indefinitely. However I have seen others where that was their intent for whatever twisted reason--e.g. they had a boyfriend or girlfriend in the state facility.