“We find another reference to the “women who made the veils for the Temple...baked the showbread...prepared the incense” (Babylonian Talmud Kethuboth 106a).”
This is what the Talmud actually says there:
“(Babylonian Talmud Kethuboth 106a)
R. Nahman said: Rab stated that the women who wove the [Temple] curtains received their wages from the Temple funds25 but I maintain [that they received them] from the sums consecrated for Temple repairs, since the curtains were a substitute for builder’s work.
An objection was raised: The women who wove the [Temple] curtains, and the house of Garmo29 [who were in charge] of the preparation of the shewbread,30 and the house of Abtinas29 [who were in charge] of the preparation of the incense,31 received their wages from the Temple funds!32 There33 [it may be replied] the reference is [to the curtains] of the gates;34 for R. Zera related in the name of Rab: There were thirteen curtains in the second Temple, seven corresponding to the seven gates,35 one for the entrance to the Hekal,36 one for the entrance to the ‘Ulam,36 two37 [at the entrance] to the Debir36 and two [above them and] corresponding to them in the upper storey.38
29. A priestly family.”
As I said, the opinions of the rabbis and even that you’ve misquoted.