The double cross of the nobles:
patek philippe is useless and laborious
acheron constantin lecturer and Denton=-=
The rest Probably because these two companies are so powerful, they are embarrassed to use a cross as a symbol.
It’s hard to say without a picture. Tradition is not a brand, it may be a series. Go search for the Patek Philippe and Vacheron Constantin logos and see if they are the same.