This is most likely a more convoluted problem. On the bottom of the playfield there's a number of relays that change the scoring. For example, the spinner or pop bumpers can be worth 1000 or 10,000 point (for example, actually i don't really remember exactly on this game, but for this example, we'll go with that.) There's a change relay that controls this, usually with make/break switch(es). If the switch(es) are mis-adjusted, you'll get both 1000 and 10k scoring for that particular device. So bottom line... your problem may not be on the 1000 or 10k relays, but elsewhere.

On williams score reels, as part of any repair, you should tug on each and every wire on the score reel switches. Williams often didn't use enough heat to solder the wires, and often they delaminate their solder off the switch solder lug. If one came off, i'm betting you'll find more.