I don't have a degree and it almost never fails to come up. Ultimately I flunked out (for a variety of reasons). I've done a lot of A/B(/C/D/E) testing with my resume:
- Don't include education - I'm asked about it. Every. Single. Time.
- Include the years I attended college - Asked why I didn't finish. Every. Single. Time.
- Include college in a misleading way - I did a summer extension program for 2 years while in high school at a similar college. I list both colleges, my start year, my end year, and what my degree track was. I do not claim that I have a degree, but nearly everyone assumes I do. I'm almost never asked about it.
Any time I am asked about it I'm honest to the degree they need ("I had to take a break from school due to family issues", which is true: my family had an issue with the number of "F"s I was getting).
I've actually had managers who found out after being hired who told me "if I had known that, I wouldn't have hired you"
Ultimately I think there are a lot of industries that a degree requirement is a good thing (I really want my doctor to actually have an MD), a lot of industries where certification is sufficient (I don't particularly think an LMFT needs to have a full degree), but the vast majority of industries shouldn't require it, and filtering for that is a cop-out.
I've been at Google for a number of years. Whether I had a degree was brought up during the recruiter conversations; nobody cared.