Alligator leather conditioner recommendations?

I have a couple of Navitimers on Alligator leather straps. Does anyone have any recommendations for strap conditioner?

I’ve seen that Saphir make an exotic leather conditioner. I’ve used their stuff for leather shoes before and it seems good. I guess I’d have to use something like that for the top and then a different conditioner for the underside, which I believe is calf leather?