Not to kill a significant portion of my astrological work, but to tell the truth: In everything I’ve read so far in Bhāgavatam (Cantos one through three) there was never once any mention of anyone consulting astrology to determine relationship compatibility, nor is there exact support for the idea that the parents select the marriage partner. The way it is told in Bhāgavatam it usually works that a woman selects a man who has similar interests, talents, focus, and character – and who is also naturally appealing to her. Then she presents the idea to her parents. I have only read one instance of the father disagreeing, and that was Dakṣa disagreeing with Satī, and as a result Brahmā had to order Dakṣa to allow the marriage to Shiva.
After the parents and daughter agree on the suitability of a man, the parents go to the man (often with the daughter directly involved) and make a proposal of marriage. If the man agrees, immediately or after some time, arrangements are set in stone, and things proceed.
Often the woman searches for some time. For example Devahūti was asking people about eligible men, she reviewed their suggestions without finding anyone compatible, until she asked Nārada for suggestions, and Nārada suggested Kardama.
So, I find no support for the idea that marriage should be based on (a) astrological calculations, or (b) arranged independently by parents. The Bhāgavatam portays a very rational, natural system.