I think the bottom of the hierarchy of the mechanicus that is far from mars might be convinced that the omnisiah is just an alternate name for emperor god of mankind and are loyal to him but cawl is way more likely to not be loyal to the emperor as are any mechanicus on mars or any mechanicus that are not at the rock bottom of the hierarchy.
The emperor god of mankind loved the "making bigger things" business too and the reason why there is not many "bigger marines" is that the primarch project did not go as well as planned (alias bad parenting skills and also the issue that he had to seek them everywhere due to chaos or something).