That assumes the company is actually doing that kind of analysis on rejected resumes, or even less likely has a human with judgment reading them all. If you believe (as I do) that tech hiring, at least the initial filter/funnel, is largely an automation-driven random-chance numbers game, then it would be better to give yourself a 1,000/11,000 chance than a 1/10,001 chance.

I'm not sure I yet believe in the "networking and personal connections" mysticism. I feel I wasted a lot of time in my life going to networking events and having networking conversations, and after all those theatrics, when it came time to get a job through this network, the response is often "Cool! Here's the hiring web page--get in the funnel and slug it out." You hear myths about people using their powerful network to bypass the normal interview hazing pipeline, but it's hard to find more than anecdotal examples.