Sociopathic would have been a better choice: "a personality disorder characterized by amorality and lack of affect; capable of violent acts without guilt feelings"
No, that's psychopathic, not psychotic. You are right that definitions are constantly evolving... but this is not the case. Psychopathic/psychotic are not even close (except the fact that they sound similarly) - they are totally different things and when you associate that term with characteristics typical for psychopath you are seriously misleading. I understand that you are not a doctor - if you don't know what the term means that's ok, please just don't use it.
To make it hopefully easier to understand why this is so important: imagine that you suffer from severe depression caused by bipolar disorder (which is psychosis, therefore you are psychotic). You might be at the verge of committing suicide and you need help... and than you notice that some people confuse the term psychotic with psychopathic - they think you are a psychopath and they expect inability to empathise, willingness to hurt people etc. - get it?
You don't label cancer patients as psychopaths and you should not do it with other illnesses like schizophrenia or bipolar disorder. That's the point - those are illnesses, being a psychopath is not.
Just a little clarification - I am pretty sure you make the same mistake that apparently many people do and confuse 'psychotic' and 'psychopathic'. Those are very different things and what you describe seems to be psychopathic (characterized by psychopathy or antisocial personality disorder - lies, manipulation, lack of remorse etc.) behaviour - this behaviour is not typical for psychotic people.
Psychotic person is someone who suffers from psychosis - for example schizophrenia or bipolar disorder.
Psychotic people have really difficult life and it is partially because of the social stigma attached to psychoses - we should not make it worse by associating psychoses with morally despicable behaviour typical for psychopaths.