Bourbaki volumes are certainly not the sort of textbooks one puts into the hands of young students. but an advaced student, familiar with the most important classical disciplines and eager to move on, could provide himself with a sound and lasting foundation by studying Bourbaki. Bourbaki's method of going from general to specific is, of course, a bit dangerous for a beginner whose store of concrete problems is limited, since he could be led to believe generality is a goal for itself. But that is not Bourbaki's intention. For Bourbaki, a general concept is useful if applicable of more special problems and really saves time and effort.
-Cartan, "Nicolas Bourbaki and Contemporary Mathematics"
Bourbaki probably had some unintended influence on textbook writers, however, during the 20th century. More motivation, examples, applications, diagrams and illustrations, informal scholia to go with formal proofs, etc. than are found in the typical Bourbaki-inspired would be great. The "from the general to the specific" approach of bourbaki was adopted for specific, non-pedagogic reasons.