When being on Colorations to publish a new colorway to the connected neoCatalog, then the option is not in the contextual menu.
Newly created neoCatalog account sets that are pending to link with neoTextil always lack this contextual menu entry. In some cases, the XML file InSwLocalHostServerSetting.xml in Inèdit Software shared folder is not created. This XML contains the command to publish colorways. The creation of InSwLocalHostRipSetting.xml is possibly blocking the creation of the required XML.
To sort this out, delete InSwLocalHostRipSetting.xml and make a new connection with neoCatalog with the QR link. You should get both XML files.
And then the option to publish colorways is shown in the contextual menu.