Yeah, Superdad isn't really my cup of tea either if he's being written like this... only a matter of time before he gets the Parker scenario of choice between loosing Lois/Jon or some blameless innocent and not be able to save both.
It could work... but tbh I would want the writer to be more Morrison who could write Superman as being able to leave a grievously injured Lois and save both her and the Multiverse at the same time... not do one before the other.