No, you can use any major brand of motor oil you want. However you must use Honda transmission fluid, and power steering fluid. I think you have misread your owners manual as it will not tell you to only use Honda Oil. Honda does not even refine oil and Honda oil is a major brand that is packaged for Honda with their name on the can.
how to install 2006 Honda odyssey ashtray
The 2006 Honda Odyssey has 24 valves.
According to manual, this is a reminder to change coolant.
The 2006 Honda Odyssey has a V6 engine.
The 2006 Honda Odyssey is a gas-powered vehicle.
The 2006 Honda Odyssey has a 5-speed automatic.
The height of the 2006 Honda Odyssey is 5 ft. 8.8 in. (68.8 in.).
The curb weight of the 2006 Honda Odyssey is 4378 lbs..
The 2006 Honda Odyssey's turning circle is 36.7 ft..
The 2006 Honda Odyssey runs on regular unleaded.
The 2006 Honda Odyssey has single overhead cam (SOHC).
The 2006 Honda Odyssey is 16 ft. 9 in. (201 in.) long.