Networking without feeling pushy after 10 years as a procurement assistant

I sent 10 messages on a professional network and got two replies. I have read a lot of threads here and could not find my exact situation. I worry about bothering people. Did any turn into leads?

Do not apologise for asking. Most people remember someone who helped them.

I wrote three short lines: who I am, why them and a small ask for fifteen minutes. About one in four said yes.