Do astrologers ever claim that what they do is a science?
Books on astrology will regularly cite various statistical studies which they claim validate astrological work. All of this points to the fact that astrologers would like to be thought of as practicing something which is rigorous, scientific and objective.
The actual practice of astrology is also generally made to appear very scientific. When creating someone's chart, an astrologer first has to fix the exact time of the person's birth, then translate that time into Greenwich Mean Time, then translate that into sidereal time, then translate that back into local sidereal time. After all of this is finished, the astrologer needs to perform elaborate calculations to determine zodical and planetary positions for this exact time.