Yeah, I type too much... But I feel it is only reasonable to point out that the cooling fan can draw quite a large current, so much so that some here suggest they have it fused at 25amps..? With that as a possibility then it seems best if installing any by-pass arrangement which switches the fan DIRECTLY without a relay in circuit, that both the wiring and the switch are capable of carrying the ACTUAL current (load) of the fan...
With a relay in circuit, the relay`s internal CONTACTS carry the full load of the fan, and the Otter switch only switches the load of the relays internal COIL which is minimal and likely to be a fraction of one amp, thus nothing like the load of the fan.
Using light wires connected at the Otter switch and on to a by-pass switch that switches the relay COIL creates no real issue, other than IF the relay coil or the contacts inside the relay fail.... operating the by-pass switch will not bring on the fan..?
Feel free to correct any errors in my thinking, I come here to learn.