The column will degrade without the carrier gas at 80C, as it's a porous polymer, and the equilibrium time will be even longer once carrier is restarted. You will still have to recondition the column, and column life will decrease from years to months.
Because, unfortunately, bean counter laboratory managers are not allowed to be killed by their staff, one alternative solution is to add a bypass to the instrument front end carrier gas line.
The system usually consisting of an on-off toggle valve and a restriction that reduces the flow to 1-2 ml/min that is plumbed across the usual carrier on-off valve. You open the bypass, and close the normal valve. It can all be combined in a multi-port valve, if the savings are justified.
Why not go the whole hog, and suggest a $2,000+ time-controlled, auto-switching, multiport valve to save $100 of gas per year?. It should be worth some sort of performance bonus

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I'd also endorse using the most appropriate grade of carrier gas for TCD and FID. I used welding grade argon and technical grade hydrogen and helium on packed and capillary column GCs with gas purifiers that were regenerated once a year. In general, most carrier gas disappears through leaks or high split vents when instruments aren't running, and using cheap gases meant instruments were always ready to go.
You need ultrapure gases if you are looking for trace impurities or have oxygen-sensitive columns or detectors. If you are buying ultra-pure gases, invest in a leak detector and some simple bypass valve setups.
Bruce Hamilton