To bell out, is the old way of testing for continuity, and it was a simple doorbell circuit.
nowadays, a multi function tester can send anything up to 1000v down the wire, so not only does the circuit need disconnected from mains, but any electronics or other devices need disconnected from the circuit. Ie, smoke alarms, led lights, anything that can be unplugged!
the question of two way lighting… it is unclear if you mean always off, or always on… maybe edit the post?
if always on, then the supply feed is connected to the switchwire and the switches aren’t doing anything.
mixing up the strappers would cause the light to work on one switch but not the other. Ie a strapper is connected to either the feed or the switchwire.