Google, Amazon, etc on your CV/resume actually makes you stand out more?
Yes. The name brand itself won't net more offers (that's all interview performance) but it will DEFINITELY net you more recruiter outreach, passing ATS / recruiter screens, and opportunities to get offers.
I'm not at a Big N, but I'm at a company maybe a tier or two below that with a good reputation in the industry. I had great experience at companies no one had ever heard of and wasn't getting a ton of recruiter action or call backs. Within 6 weeks of starting my job, I got hit up by a recruiter at Facebook. My skillset and soft skills obviously hadn't changed, I just had a new shiny company name on my resume (and clearly I hadn't made an impact or yet).
From a recruiting perspective: frankly most candidates are clearly not qualified, even ones who look qualified on paper. In that environment, the easiest thing way to find top talent is:
Unfortunately that means you end up in a situation of winner takes all. A small minority of candidates get the lion's share of attention and opportunities-- frankly a lot of it unwanted, I ignore like 90% of recruiter outreach --while potential high performers who haven't distinguished themselves from the "clearly not qualified" mass languish until they establish themselves with a lucky break.