matters. Much also depends upon the wand itself. In general,
You don’t gain the allegiance of a wand by simply capturing it. You must defeat the previous master. By besting the Master of the Wand, the wand changes its allegiance to you. It would be impossible to only gain one wand and not the others; it is a ??? in the ????, not a ??? in the ????. Taking the wands from Malfoy during a confrontation was an act of defeating the master, as is indicated by the fact that Draco’s own wand became Harry’s. Taking the wand away from him wasn’t directly how he won it’s allegiance; taking the wand away was a manner of defeating Malfoy, which therefore transferred all wands under Malfoys jurisdiction to Harry.