I am of a different mindset: I watch Indiana Jones to see Harrison Ford playing a role to which he was well suited. I would watch an Indiana-type series with the understanding that we could be treated to similar plots, but not be forced to pretend to pretend to be watching a different actor pretending to be Harrison Ford pretending to be Indiana Jones. My suspension of disbelief is merely not sufficiently elastic.
The first time such an actor attempted to retrieve his hat from peril, voiced a fear of snakes, and attempted to deliver Harrison-type quips would be a type of death to the original. Let us embrace new idioms and enjoy a new series without such forcible distractions.
It would be as if a new muscle-bound type attempted to imitate Schwarzenegger, both in accent and in phraseology...it would be excruciating to watch...much as would be a new Black Adder, a new Han Solo, a new Colombo.
Though some might be capable of shrugging off a new Captain Kirk or James Bond, I lack such a nature: if the entertainment industry is advertising a deficit of new characters interesting enough in their own right to warrant a story of their own then why am I to care what is to befall them in any new development? Will they not have the potential to be infinitely replaced in this, our new, doppelganger universe?