Don't just order helmets try them on and then buy them in the store.

In terms of Lazer none of those. I have no idea if actual Lazer or not and I would doubt they are authorized dealers and I would also doubt if the helmet was new undamaged. Given what you describe they could easily send someone a helmet they crash it and put it back in the box a week later and the Billionaires take it right back and re-sell it with no fox given.

Buy a helmet from an authorized retailer because if you do crash they have a Crash Replacement Program.

This is the new version of the helmet:
https://lazersport.us/products/z1kineticore
I have an older version. It was very very lightweight and comfortable and felt well ventilated. It was an easy helmet to wear and well worth the amount it cost even though it is high (though it looks like it came down slightly) There were plenty of times I had to put my hand on my helmet to verify I was wearing it because I just forgot I had it on it was so comfortable.