No, they don't. Two positive terminals cannot make for a whole high nor low frequency input : each input must have its own + and -. Usually, behind a speaker, the two terminals for the Low Frequencies (LF) are the lowest set of binding posts, and the two terminals for High Frequencies (HF) are the highest set of binding post; typically, red binding post will indicate for positive, and black binding post for negative. However, some manufacturers differ as to whether set is HF or LF, so you have to make sure, ie. verify the indications next to each set of terminals on the back of the speaker itself, or in your speakers owner's manual if no indications can be found on the unit.
The Chord wire you are talking about was intended for bi-wiring, as you know, but the company also dedicated each of the four thread for a specific connector for maximum efficiency : the Chord Rumour, when unshielded at the ends, should present as two separated twisted pair of distinctly coloured wires; though, each twisted pair has a white wire for the negative HF or LF, so you'll only be sure which pair is which by identifying the positive wires. The LF positive is the black-striped one, so the all-white one twisted with it is gonna be the LF negative; typically, they will be connected to the lowest set of binding posts, all-white in black binding post marked "-", black-striped in red binding post marked "+". Similarly, the HF positive is the red-striped one, so the all-white one twisted with it is gonna be the HF negative; typically, they will be connected to the highest set of binding posts, all-white in black binding post marked "-", red-striped in red binding post marked "+". Be sure to check your amp configuration too...