I don't think the .357 will "die" during our lifetimes; but I do see its popularity declining.

Lots of people packing compact 9mms now for people self defense who would otherwise be carrying a .357 40 years ago.

Lots of people packing .44 mag or 10mm for woods self defense who would have been packing a .357 long ago.

Spent some time out roaming the woods mushroom hunting today. Didn't see anything to shoot (or any mushrooms); but I had a Ruger SP101 .327 and a SW 69 .44 mag on me. I don't even own a .357.