If it was easy to have been brought back, I’m sure it would have. But from what I guess, it is a complicated business contract. Sony cut the deal with Square Enix, who was the publisher then. Seeing as IOI has retained/renewed a relationship with Square Enix through the upcoming Hitman Sniper game, there isn’t an impossible chance this deal could be renegotiated.
Sadly, you have to see it from the frustrating business side: If it were to come back, it would still be PlayStation exclusive as they essentially commissioned the content. Also Square would want some cut as they necessitated the deal. Even if it were now paid content instead of free, the income warranted wouldn’t be enough to pay the lawyers to draft up the new contracts.
I’m not an expert in this stuff in any sense, but I am a pessimist! I’m still glad everything else managed to port forward under the Hitman III roof in the end.