Can the Imam Commit Sins or Act Unethically?
A Logical Argument for the incorruptibility of Mawlana Shah Karim al-Hussaini:
Premise 1: If it is reasonably proven that Shah Karim al-Husayni Aga Khan is the divinely-appointed Imam from the descendants of Prophet Muhammad and Imam Ali, then it means Shah Karim al-Husayni is divinely-inspired and divinely-guided in all of his words and deeds.
Premise 2: A divinely-guided and divinely-inspired Imam cannot commit any moral, ethical violations or sins. Otherwise, it would mean that God guided and inspired the Imam to commit sins and violate God's Will which is a contradiction.
Conclusion: Therefore, if Shah Karim al-Husayni is proven to be the Imam, then ALL of his words and actions - no matter how strange or unusual they may appear to us with our limited information - are never ethically or morally problematic and always good and correct.
Premise 1 can be proven with research - most of which Ismaili Gnosis has already done and documented here:
Premise 2 follows logically from the very concept of a divinely-guided/divinely-inspired Imam.
The conclusion follows via logical necessity.