IMHO they should just call it what it is, https://en.wikipedia.org/wiki/Galinstan instead of the vague "liquid metal" term, which probably evokes mercury and its negative connotations for a lot of people.
Also, it's slightly odd to see the prominent country of origin markings on the CPU --- I've not seen recent Intels marked in the same way.
"Liquid metal" is a relatively well-known term within this niche (i.e. those that would care about the type of thermal paste on their CPU), so it should be fine.
No they should not, because:
1. There are different liquid metal thermal interfaces on the market which has different alloys(i.e. Gallid ZHM-6).
2. Galinstan is a trademark of some company.
Gallium is liquid to 30C. The alloy Galistan used in this application is liquid to -19C. Unless you plan on storing your laptop outside on a bitterly cold winter day, letting your laptop drop to room temperature isn't a big concern.
I have commuted many times to work in -20C or below. A few times in -30C and below. I don't know how long it would take a laptop in my backup to get down to the outside temperature.
Good news, Windows laptops have a high chance of not entering sleep or hibernation correctly despite your best efforts and will continue to pump heat into your backpack while you commute. Just be sure to keep it charged.
Also there's a slim chance that your employer will issue you a gaming laptop containing Liquid Metal as a work laptop in the first place.
I think it's a fair/interesting question. I'd hypothesize the normal heating/cooling and mounting tensions cause variations on the order of 3% or larger mounting strain when you do something as simple as flip the lid open and launch a game. Could be something "cool" for one of those YouTube channels to actually test and find out though.
Also, it's slightly odd to see the prominent country of origin markings on the CPU --- I've not seen recent Intels marked in the same way.