I think it's interesting to talk about how "act your size" can also be wrong. Sometimes fake-it-til-you-make-it is the goal. Contextually you should hold both ideas to be true and apply them appropriately.
Maybe you just thought the original post is a vague platitude and you don't want to give them the satisfaction but maybe we can share some of what we've experienced.
One thing I always think about is hiring generalists vs struggling to maintain departments you can't sustain. I understand businesses think this way, so it influences how I think about applying to roles. I'm currently in a generalist role and when searching I always look for smaller businesses because I find my impact is higher, and repetitive work is my greatest fear.