I am not able to understand your issue!
Are you not able to connect to Wi-Fi on 10.6 Snow Leopard OS or facing connectivity issues with it?
Are you having a strong network connectivity nearby? As a matter of fact, you should not be able to face any such issue especially on macOS, and to be honest, I haven’t faced any such issue ever even on some of the older OS versions before Snow Leopard.
You can rectify frequent connection terminations and fluctuations simply by performing a hard factory reset on the OS to get it resolved.
Please do share your thoughts and elaborate a bit more to understand the issue better. Thank You!