You refuse to change anything about your process, you aren't working to improve it, you are arguing against people telling them you don't need to do common/standard things.
This thread is a pretty good insight into why you are failing and what you need to work on.
They said it's necessary, not sufficient.
I have a couple dozen open roles right now, at a 50-person company. Each posting gets thousands of applications. Most are fakes, or AI-generated, or AI-generated fakes. Realistically, we're going to respond to 1%, maybe 2% of them, because again, 50-person team. Half the time, you get someone named Ralph McGuinness on for a quick code screen and they have a thick Mandarin accent or something equivalently implausible.
The best first filter we have at the moment is to programmatically toss out any resume that doesn't have a LinkedIn, that has a hallucinated LinkedIn that doesn't resolve, that resolves to a name that doesn't match the resume, that has no connections or history, etc.
It's an absurd state of play that hurts those of us trying to hire and those of you trying to get hired, but also a trivial hurdle for you to clear, so stop arguing and just do it.
Not finding a LinkedIn page for someone can range from a neutral signal to a negative signal depending on the hiring manager. I personally don't read anything into it, but I know many hiring managers who feel that lack of a LinkedIn page is a negative sign. I don't like it, but it's how the world works some times.
A seasoned LinkedIn page is also becoming very valuable for applying to remote jobs. Remote employers are getting nervous with all of the overemployed people and fake applicants. Having a mature LinkedIn page with a decent number of connections to real people is a major positive sign for remote hiring.
It's not something you will be able to see or detect as a candidate.
This isn't universal in every market. Business is very insular here and work follows referrals and introductions. You have those and you have work. Without them, Linkedin won't help.
I'm 35yr in IT; I plug into my clients in a way that I learn their processes - inc hiring. Few white collar employers here use Linkedin. I've never worked with one who did.
I’ve seen all sort of false claims, but ultimately small programming task is best to sift out people.
Imperfect, but effective enough that this is how the world has solved for this forever.