I know it is common in America to refer to these places as "hibachi," but that is technically not correct.
The style of cooking is teppanyaki. The flat cooking surface is called a teppan, and yaki means grilled or pan fried.
A hibachi is (authentically) a barbecue style grill with open grates and typically charcoal fired.
Unfortunately places like Benihana have muddled this by offering dishes named "hibachi chicken" despite referring to themselves as "teppanyaki style dining."
Japanese fried rice dishes are derivative of Chinese fried rice anyway (brought to Japan by Chinese immigrants), and Epcot does have a Chinese restaurant already. While fried rice is a dish prepared at teppanyaki restaurants like Benihana, fried rice itself is not very common in Japanese cuisine. It does seem like Teppan Edo endeavors to be a bit more authentically Japanese, which is probably why they do not serve fried rice.