If you are only skiing 1 week a year then you are doing something very wrong, i highly recommend you change that so you can ski 50+ day a year ...
If you are only skiing for 1 week and flying out there I wouldn't bother TBH. Financially it wont make sense once you consider airline costs, maintence and risk. Although you can buy ski insurance it is next to useless for privately owned skis- if you leave your skis at a mountain restaurant they wont be covered for theft, if you leave your skis in the hotel ski locker and they get stolen they wont be covered, if you have skis on a rental car roof-rac and they are stolen they wont be covered, if you are skiing with your skis and you damage them they wont be covered (as I found out on a brand new pair of skis on their 3rd day of use). However, the insurance you can buy form the rental companies for a few euoros covers all of this typically.
But this biggest reason why owning a pair of skis is useless is because you need to own a quiver. I own 4-5 pairs right now and hope to buy another couple this winter if I get an xmas bonus. I have rock skis, mid-fat super stiff, super-fats for knee deep powder and above, detuned-slaloms, and a all mountain/GS skis. That excludes my touring gear, super light Trab mid-fat with dynafit speeds.
On one of the blower face-shot days you wont see me on anything less than my 198 Black crows with a 115mm waist. Early and pre season the rock skis help protect my investment. Early season often includes right up through January where rocks are just waiting to rip your edges out. If there is less than a foot of fresh, especially older chalky snow then it is all about the mid-fats and hitting the steeps with the stable snow condiitons. If conditions are really getting crap then throwing on the slalom skis can add a load of fun on the ice or following he bob-sleigh tracks through the trees. All-mountains skis often come out in he spring for tearing down from top to bottom, anywhere, anyhow.
If you rent then you can just swap skis over each morning depending on conditions., 30cm fresh overnight, just grab some powder boards, re-frozen crud, get some stiffies.
Even if money was no object if you only go on package holidays then it still wouldn't help to own a quiver because you will only travel with 1 or 2 skis.
the big exception is if you live in scotland or the alps, rockies etc., then it really makes sense to own an old rock skis, preferably a slalom ski, and some mid-fat all mountain setup. If you ski every weekend, and try and do the odd night mission, then owning a quiver of skis makes sense.