If the primers look to be in good shape and not corroded, you shouldn't have any issues. I used some Alcan primers with no problems. I believe they were last manufactured around 1970. I've used even older rifle and pistol primers.
The 157s will be too small of diameter for today's primer pockets but some have cut a drinking straw to fit over the cup portion. This is said to make up the size difference. If I were to try this I would probably put a little nail polish over the primer to further help the primer stay in. Lucky for me I still have a few hundred old Remington hulls to go with the 1000+ primers I still have.
