The source discusses the bāʾ in «فَلِتَخْصِيصِهِ بِالْمُسْنَدِ» through an ordinary expression of specification:
خَصَصْتُ فُلَانًا بِالذِّكْرِ
I singled that person out for mention.
The phrase singles out someone for a particular treatment. Similarly, the example in rhetoric attaches the predicate of standing especially to Zayd. The preposition cannot justify the mistaken conclusion that all of Zayd’s actions are limited to standing.