Would God have had Jesus appear to everyone (or more)?

Reportedly, God raised Jesus from the dead and had Jesus present himself alive to a relatively small pool of witnesses. If God existed and raised Jesus from the dead, wouldn't he have had Jesus appear to more witnesses, like the Pharisees, or the Jews at large, or perhaps to all the world up until the present?

Richard Carrier: “Why on earth would a God, who wanted to save all mankind, only appear to a few hundred, most unnamed, people and then give up? Wouldn't it be much more efficient and effective… to bypass the apostolate and just appear to everyone?” [“The Spiritual Body of Christ,” in Price and Lowder, Empty Tomb (Prometheus Books, 2005), 195)]

(This is at least loosely connected to the so-called problem of divine hiddenness, which asks, “If a loving God existed, wouldn't God ensure we always know it so we can have relationship?”)

• Did God raise Jesus from the dead? This question is related because if we want to say God raised Jesus from the dead, then we have to talk about why God would plausibly choose to do such a thing; otherwise the whole hypothesis is absurd because God rarely raises people from the dead. But those motivations for raisiing Jesus would presumably require us to say that God would have Jesus appear to, not just the apostles, but all men. So as a matter of consistency, the Christian apologist cannot deny that God would have Jesus appear to everyone.
• Would God have reason to resurrect Jesus from death? This question is related because the presumed reason God would have to raise Jesus would transfer over into also being a reason that God would ensure everyone witness its reality. If we deny that God would have a reason for all to see Jesus, then it becomes hard to say that God had a reason to resurrect Jesus in the first place. What are the chances that God would just want Jesus to rise and for only a few to see him?