[set fair (OP)]

a) No, fever is a positive part of the immune response.
b) Yes, the fever specifically helps the immune response against the vector (adinovirus) but we want the adinovirus to do its thing.

[evan_au]

How do you define fever?

Redness or heat at the site of inocculation is inoccuous - a natural inflammation response to a foreign antigen. It's not going to do any real damage to your arm muscle.

However, a significant increase in core body temperature should be treated, so it doesn't cause problems with other organs.