Your hosting company is bound by US laws. Their defense for hosting illegal content is the DMCA, which allows them to claim that it is your responsibility (the end-user's).

This is the entire point of DMCA: exempt service providers from indirect liability for content on their network (at the cost of taking action for that content upon receiving notice).

If DMCA applied to them but not to you, how could that possibly work? A US company could host content that no one is responsible for?

In other words: this is not about you but about your hosting company. They are the ones the DMCA apply to, and was written for. This is true no matter where you live, if your hosting company is US.