Should a presidential yacht also be a corvette?

Is the described Indonesian proposal to combine a presidential yacht with a corvette sensible?

A diplomatic yacht should be optimized for diplomacy, with a separate warship built to protect it.

The question describes an Indonesian proposal to combine a presidential yacht with a corvette, including attempts to accommodate vertical launch systems. The reply favors designing the yacht around its diplomatic role. A separate combatant could protect it while concentrating on fighting. The Thai combination of yacht and carrier roles is cited as a warning that a hybrid does not automatically perform its different functions well.