Lighter Information: Confusing or just me?

[Dan_]

Last time I travelled I had my blue flame lighter taken off me, which I was not happy about.
I thought I could take it because the VA website says this

Dangerous goods that are permitted​

Some dangerous goods are permitted to be carried by passengers for personal use if specific requirements and conditions are adhered to.
Safety matches and lighters
Permitted on ones-self only - either one small compressed gas lighter, or a cigarette lighter powered by a lithium battery or a box of safety matches or a liquid fuel lighter that has the flammable liquid fully absorbed.

Note: Blue flame, cigar, cooktop, pipe and torch lighters, and ‘Strike anywhere’ matches and cigarette lighters powered by a lithium battery (e.g. laser plasma lighters, tesla coil lighters, flux lighters, arc lighters and double arc lighters) without a safety cap or means of protection against unintentional activation are forbidden for air transport.
My lighter was a zippo that had lid to stop it accidently turning on, so I went with it would be OK to take on. Security disagreed and now I am sans zippo insert.

On the same page it also says this
"The following items must not be taken on board a Virgin Australia aircraft under any circumstance:

• Blue flame cigarette/ cigar lighters and chef torches"

Has anyone had any success taking on a cigar lighter or am I destined to buy one each time I land.