nope don't think so, here gry is talking about the stand as a seperate role than inigoIs it fair to assume that this means Inigo father/son are probably stands, so if you don't have a stand, you are probably the father or the sun.
Yes, as soon as Inigo Montoya's Father dies, and his secondary will show upon death, Inigo Montoya is PMed they are Inigo Montoya.
No, Inigo may still use his Stand. But his main and secondary roles, if he has any, will not be usable.