I don't know if this makes your decision any easier, but the right-hand trip lever version of the Ultramax II only comes in cotton white. 604114CEFRG only comes in finish #01 (which is cotton white).
They make a (special, different) right-hand trip lever for the Drake, and the replacement trip lever has a different model number and can be ordered. I don't know about the Ultramax II, because Toto doesn't seem to publish a separate parts list for the right-hand trip lever model online. If one of the pros doesn't answer your question on here promptly, try calling Toto customer service tomorrow. They are really nice and really aim to please, and should be able to answer that question definitively and immediately. 1-888-295-8134 (note it's an 888 toll-free number, not 800)