I do not usually recommend cutting some of the strands out of the larger wire. It creates a weak spot, and often results in the wire breaking at the connector, in time. The method will also not completely eliminate the extra resistance the smaller wire causes. It will reduce it, but the smallest portion will always be a limiting factor, in this case the connectors and connection. The larger wire will not overheat if the load is heavier, but the connector may do so. On the other hand, it is probably less restrictive than the #18 wire. I would probably try to buy several lengths of #16 THWN stranded or #16 primary wire, and make my own cable, but your method will work. Just be aware of the potential problems. A strain relief on the main part of the cable could eliminate breakage problems.