This outreach is specifically towards developers, CTOs, VP engineering of startups.
Pitching is to try a product out for free or to get on a user interview call, and not about hearing a sales pitch to purchase a product.
My prompt for filtering inbound email is “Summarize the goal of the sender of the following email in 12 words of less”, which then replaces your subject. I almost never respond to a cold LinkedIn message.
Sorry, but it’s tough out there.
Even on my private infrastructure emails, the email burden is quite high. LinkedIn has maybe 3 messages on a busy day.