It's better for the company - they can pay less and the employee gets the same equivalent amount in their pocket.
E.g. if the company were going to pay $2k extra but it would be taxed $1k, they would have to pay $3k to get the equivalent "happiness" boost. The employee gets $2k / year either way.
In the USA, you can get up to $5k or so without tax (it’s your money, but you can spend from a tax free account) to fund child care, which works out to almost half for one kid in a HCOL.
IANAL, but I'll bet the answer is "yes-ish, in most-ish circumstances and jurisdictions, if the company is willing to pay enough lawyers & taxes & stuff.
(If $Company is not big global retailer like IKEA, then things would probably be far simpler.)
In the US, and presumably elsewhere, no way. My wife tried to negotiate a higher salary in exchange for forgoing health insurance a few times, to no avail.
It won't save as much as you might expect, though, because the insurance provider also knows that the people opting out of the scheme would have (on average) cost the provider less to provide healthcare for.
I’m pretty sure it isn’t up to the company, they have to provide health insurance if certain criteria are met, it doesn’t matter if your partner already has health insurance.
E.g. if the company were going to pay $2k extra but it would be taxed $1k, they would have to pay $3k to get the equivalent "happiness" boost. The employee gets $2k / year either way.
$2k tax free -> $2k in your pocket
$3k + $1k tax -> $2k in your pocket