In both the mrna and viral vector vaccines, the mrna and virus are the DELIVERY mechanism of the payload.
https://www.mayoclinic.org/diseases-conditions/coronavirus/i...
"In this type of vaccine, genetic material from the COVID-19 virus is placed in a modified version of a different virus (viral vector). When the viral vector gets into your cells, it delivers genetic material from the COVID-19 virus that gives your cells instructions to make copies of the S protein. Once your cells display the S proteins on their surfaces, your immune system responds by creating antibodies and defensive white blood cells."
https://www.gavi.org/vaccineswork/there-are-four-types-covid...
"Viral vector vaccines also work by giving cells genetic instructions to produce antigens. But they differ from nucleic acid vaccines in that they use a harmless virus, different from the one the vaccine is targeting, to deliver these instructions into the cell. One type of virus that has often been used as a vector is adenovirus, which causes the common cold. As with nucleic acid vaccines, our own cellular machinery is hijacked to produce the antigen from those instructions, in order to trigger an immune response."
https://www.science.org/content/blog-post/how-you-make-adeno...
"The adenovirus goes in and does its normal infection route; all that machinery is intact.. But in this case, the DNA payload that's delivered into your cells is not a big set of instructions for making more adenoviruses, it's a much shorter sequence that codes for the coronavirus spike protein instead. So the modified DNA gets transcribed to messenger RNA in your cells (and that's the exact step that the mRNA vaccines jump in at if you take them), and this mRNA is taken up by ribosomes and translated into the Spike protein itself."
https://www.science.org/content/blog-post/coronavirus-vaccin...
"This class uses some other infectious virus, but with its original genetic material removed. In its place goes genetic instructions to make coronavirus proteins, and when your infected cells do that, these proteins will set off an immune response. Note that this is different than being infected with a “real” virus, whose instructions are (naturally enough) to produce more virus, which go off and infect more cells. No, in this case each viral particle that you’re injected with will be able to infect one cell, and that’s it. "
The virus pollutes the body with spike protein recipes. There are absolutely not spike proteins on the surface of the vector virus.