Loss of money due to reverse charge?

Hello,

I recently received several invoices from US companies that didn't include VAT. I do my own accounting. I understand the reverse charge principle, meaning that I have to pay VAT on the net amount shown on the invoice myself, but I can reclaim it at the same time.

Nevertheless, I'm still losing money. Just because I'm based in a foreign country in the US, they don't charge taxes and convert their gross price into a net price.

Example:

Let's say I buy something for €100. If I'm in the US, I'll assume they charge their own US VAT. So, all in all, I don't pay the full €100.

But now I'm in Germany. The prices on their website haven't changed. However, the invoice doesn't show VAT, and I receive a net bill for €100. Now I pay that, too.

Or am I misunderstanding something here?

Thanks