You could ask if such a policy would be acceptable, but very few are.
Sure it is expensive but so is the level of care you get when it goes wrong for you
Cigna (and Bupa) were fantastic; gold plated coverage, private hospitalization, etc. at no cost (OH's employer paid the full premium, as they would have in the States.) However, I was younger and healthier, and so only used it rarely, for very minor things. Colleagues also on secondment had extensive treatment on Cigna, the best hospitals, treatment by a Chefartz, etc., and were very happy with the plan.
Do bear in mind that all this was free to the employee, both premium and deductible (franchise) - I do not know what the company paid. If you are paying for Cigna yourself that might tip the equation in another direction.
Once OH transferred from secondment status to local we of course had to buy Swiss insurance, Cigna was no longer acceptable on local status.
If I could have compared the gold-plated Cigna coverage to Swiss private insurance, they likely would have been about equal in terms of coverage. IIRC, Swiss private would have been more expensive than Cigna, but this was a long time ago so I have no idea how today's prices would stack up.
However - by the time we transferred to local status I couldn't qualify for Swiss private insurance, age and pre-existing conditions meant that I could only get Swiss basic insurance. And that is an apples/oranges comparison.
So a cautionary note: If you think you are here for longer than a secondment with exception will allow, perhaps it would be better to get private or semi-private Swiss insurance now, if you are young enough and healthy enough to qualify, because later on you might not be able to get that level of cover.
If you know that you will leave when the secondment is over, if there is no chance that you will stay beyond the period where you get the insurance exception, then Cigna is a very good plan.
So there is a whole lotta YMMV in this decision.
And bear in mind that it all hinges on being granted an exception from the canton. IIRC OH's employer had to apply for the exception, he had nothing to do with it - but again, this was a long time ago.
All the best...
I thought the Swiss plans might be less of a headache in terms of approval for my permit, but it does seem that Cigna offers options that the Canton might approve of.
@catandmouse, I was told that for my situation I could find something with appropriate/comparable coverage and be approved. Just curious about anybody else who's done it and has good or bad things to say/
Extremely unlikely that Kanton will agree in such a case.
And more importantly, since you are here for such short time, why add a complication, especially as the savings are going to be minimal for short time.
Gone through various medical issues during that time including hospitalization, and I haven't had one negative experience.