Reed makes terrific arms, so it is not surprising that it worked well with the TD 124. Great table + great arm = sonic bliss. I sort of dislike the notion that a vintage table should be matched to vintage arms; a table as good as the TD 124 deserves a good arm, including really good modern arms.
Replacement, new rubber mushrooms would probably be the way to go. My local dealer reconditions and sells a lot of these tables and new mushrooms are one of the basic steps in reconditioning tables. The person who use to be the dealer's turntable repair/reconditioning/setup person (until recently), most often installs Ortofon and Koetsu cartridges. He does not like the Black models of Ortofon as much as some lower-priced models because, to his young ears, they sound a bit bright and thinner than the other models. I haven't heard the comparison myself.