I believe that most musicians, even amateurs, would play in an ensemble in a manner to blend with the style, era, or whatever the other musicians are doing and that would mostly include phrasing, dynamics, ornamentation. Personally, I would not overthink the category or school of playing as long as there is some agreed direction of the above elements.
If you are playing with a large ensemble you would have a conductor who would guide you in the manner of playing. In a smaller group like a quartet or trio the decision would be more democratically determined. I don't know that the technique you hit a note, for instance, the angle of the pick, would make a serious difference but if it did then it is the musician's responsibility to adjust to the rest of the ensemble, especially if he or she stands out from the rest of the group.
Generally, the larger groups I am aware of often have a style they follow, sometimes even instruments that many of the players prefer according to the general slant of the group. If you are part of that group that is what you do, regardless who you studied with or what books you learned from. Importance here in ensemble playing is flexibility, I would think.
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