halacha - Does Chinese ancestor worship have the full status of idolotry?

In the front of a Chinese restaurant they have a small shrine - a succah less than a foot tall. Placed before it is a bowl of rice with vertical chopsticks and a plate of oranges. There is no idol inside it, rather there is an inscribed tablet. This is a method of sending provisions to an ancestor rather than paying homage to a god.

Do the items have the same prohibitions of a equivalent items snatched from an altar to Baal Peor?