Curiously, I've been moving away from rings and towards wire over time. It seems easier to deal with and failures are less common IMe if done properly.
The only failures relate to tightening them by twisting. Wrong. That will break the wire. Pull snug, 2 wraps if there is room, and then twist 8 turns per inch under modest tension.
Do NOT use the twisting process to tension the wire. Its purpose is only to hold the ends from slipping. Trim and tuck the end. This is how it is done on aircraft. 0.040 is plenty, monel if you can find it (more malleable). It will not break if
properly installed. Over twisting is what causes the failures. The aircraft guys have literally written the book on safety wiring method.
safety wire practice