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.