Does casting Contingency via Wish remove the requirement to carry a statuette?

When used to cast another spell, Wish states:

You don’t need to meet any requirements in that spell, including costly Components.

(PHB 288)

Contingency states:

…contingency ends on you if its material component is ever not on your person.

(PHB 227)

Does this mean that, when cast via Wish, you are always considered to have the statuette on you?