Since you’re not resident in the US anyway, it probably won’t make any difference to the company hiring you. Most companies routinely pay foreign invoices.

Basically, if you’re not in the US, they know they’ll have a hard time suing you. The LLC won’t help obscure that.

If you go the US LLC route, make sure you understand the tax implications. Preparing your American tax return may be very expensive. (When I lived in NYC as a European expat, the paperwork for my private tax return cost several thousand dollars each year. American tax advisers who have experience handling foreign professionals know their price.)

Optics of your customer ? Maybe but not really, unless you're planning to lie or be vague about where you are located.

Optics of your local tax office ? Definitely not, they're going to view you as trying to skip around local taxes.

Setting up a US company is going to make your life far far harder than it needs to be from a tax perspective.

... or it mighty be worse