Probably. I think that some do bypass the resistor so that it runs high speed whenever it runs. I would assume that the relay would handle the same load as the high speed relay since they both get power thru the same fusable link.
But if you are burning up wires then there is something else amiss. Just moving the low speed wire to the other side of the resistor, or even tying the two relays together (which is the same thing) should not cause a problem. No "back feeding" as you put it. Just two switches in parallel so that either one can trigger the fan.
The way to tie the relays together (same as bypassing the resistor) is to connect the lowspeed red/blk wire to the high speed (and delay) pink/blk wire.
Again, you must have had something else going on and you probably should not be modifying the wiring if you do not understand what you are doing (no offense meant, just a generic comment).
There are nice diagrams in the service manual and on gnttype.org if you do understand the basics of electrical wiring, relays and the like.
Tom