Thank you for posting this old Kodak fix article. I have the same mentioned Kodak Type 3 mercury thermometer that has had a split in it for the last year or so.
I fixed mine in like 10 seconds, doing this:
1 graduate with tap water - 50F.
1 graduate with 170F water.
What I found if I quickly ran it near the top in the 170F and then immediately over to the cool 50F water, the rapid rise/fall made the mercury split disappear magically.