Id say the comparison would actually make sense if vaccines DID give you autism.
Autism is the product of having a differently wired brain than a non-autist does. It's something you're born with, not something you can get later.
Certain medications used by pregnant women can result in children being autistic, but I seriously doubt that this extends to any vaccines as well. Perhaps some really exotic ones maybe, but common vaccination definitely not.
Source: I am autistic, read up on it to be able to better deal with it and am dealing with it on a daily basis.
And truth be told, I don't know if I'd be better or worse off without it. It doesn't make my life unlivable and I guess the understanding of autism of most people is too much based on rumor-mongering and hearsay, than any actual facts.
It's one of the downsides of autism that understanding the intent of other people can be hard or impossible, so I'm always grateful for hints like that.