The target does matter, that is the basis for the whole technology, and the thing most predictive of efficacy. That's why the flu shots often don't work and the shots for smallpox and measles do, the flu is a more rapidly mutating target.
Going crazy with the adjuvants was popular during the pandemic when it became clear that the virus had mutated (the target protein), but no one wanted to do R&D for a new target. Counting white blood cells became a proxy for efficacy, and you can manipulate that stat with adjuvants.
https://www.science.org/content/blog-post/mrna-vaccines-and-...
But critically this isn't as important as people think. The primary goal of the flu vaccination is of course to temper spread of the main viruses that season. But it's also to build people's immune library of exposure to flu viruses.
Recall that the 1918 "Spanish" flu was so terrible not because it was intrinsically a worse virus but that it was one which many younger generations had not been previously exposed.
COVID has meant that many younger generations again has a much smaller library of past exposure.
[0] https://www.cidrap.umn.edu/influenza-vaccines/estimated-effe...