Look to make sure it isn't the plastic distributor, if it is make DAMN SURE the shaft does not have ANY side play in it and if it does you'll need to replace the distributor. Somewhere right in those years GM used a plastic distributor which had issues with the housing wearing out and the shaft wobbling around. GM did not use bushings in those distributors they just ran the shaft in the plastic.
The actual distributor shaft itself would be plastic? I guess I've only ever seen a standard hei so I don't even know which part would be plastic to keep an eye on