If Trithemius or Agrippa came accross a Muslim Magician, Indian Tantrik, or Taoist Alchemist they would not worry at all about sticking to their own tradition, being true to their egregore, or some other nonesense like that. They would pump their informant for all the information that they could get, and use it to enhance their understanding of what they were doing. They didnt view it as some kind of system amidst other equally valid but separate systems any more than science views different models as inherently non-compatible. In their minds they were doing science.
It is a pretty universal truth that magicians, contemplatives, and mystics from varying traditions often get along better with similarly minded people from other traditions better than they do non-magicians/contemplatives from their own traditions. Because they know they are all just interfacing with reality.
The interface of systems that is enabled by modern modes of travel and information technology is one of the strengths of the age if you use it right.
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