I dont know if never-seeze is like Permatex anti-seize or copper lubricant, but if it is, it will eat rubber over time... not actually eat, but cause to swell and distort.

Read the label to make sure it contains no chemicals which are incompatable with rubber before using it around the bushings or their bolts.

Anti seize type products are great if there is no chance of them contacting rubber. Remember that any lubricant gets thinner when hot, and can spread from where it was applied. Even a small amount of the wrong kind can severely distort rubber, though it can take a year or longer to really see the effect.