> I have found more opportunity working in a cafe, and going out,
That may be true, but are you really lacking in opportunity if you're in a decent startup?
>i can invite someone to lunch for a networking opportunity
Is this "networking" for the startup, you, or is it a euphemism for a social life?
Let me suggest a test. Networking involves enough pre-meeting prep to enable a non-trivial agenda. Post-networking, there will be a debriefing to evaluate whether you achieved your goals and possibly what to do about it. You may not achieve said agenda every time, but if you do, that will often result in work that you have to do for the startup. If it rarely does, then either you're not very good at networking or you're not networking for the startup.
So, let's hear more about the value of this networking to the startup.