HiThere is no such thing as mild immunity.
Your immune system recognizes a new foreign substance and then codes for production of white blood cells to kill it and those instructions are stored in memory t cells until the foreign invader is encountered again at which time huge numbers of new fighting white blood cells against it are produced using the stored information.
Once you develop that memory t cell you have immunity.
Immunity is not the presence of masses of white blood cells. It is the stored coded response instructions in the memory t cells.
Having massive numbers of white blood cells without a foreigner invader present is bad.
The presence and speed of production of white blood cells is called immune response... Not immunity. Immune response only has to be faster than the initial number of foreign exposures and the rate of replication of the foreign organism in your body.
Once you have the coded memory tcell your rate of immune response is usually faster than all but the most deadly pathogens and those are handled with things like antibiotics.
What a normal vaccine would do it expose the body to a weak version of the foreign body which would trigger the memory tell to be created so the body would fight quickly against the actual strong version of the foreign body if it was encountered.
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