The Hinge API doesn't explicitly track your "desirability" bucket, but JSwipe (Tinder for Jews) does. I was curious how their API compared, and there's a field which records the percentage of users who liked your profile.
After doing this for a week, it does seem like the quality of my suggestions decreased, but they returned to normal if I limited the number of automated swipes.
TL;DR: automating up to ~20 swipes per day is the sweet spot to maintain match quality.