You may be interested in looking at the current Taulbee survey[1] - it surveys PhD granting CS and CE programs and collects MS and BS degree numbers as well.
I also found [2] that shows "computer and information science" graduates having a higher-than-average unemployment rate than other degrees. In 2018.
My anecdotal experience over the last 15 years as a person on the hiring side of the table is that my organization has received multiple qualified applicants for our open positions, several of who are almost always new CS grads looking for their first job. And my organization is in an area with multiple companies that hire software engineers and we typically pay somewhat below market. That experience makes me question if there is now (or even has been in that 15 years) an actual shortage of candidates for these types of jobs.
I also found [2] that shows "computer and information science" graduates having a higher-than-average unemployment rate than other degrees. In 2018.
My anecdotal experience over the last 15 years as a person on the hiring side of the table is that my organization has received multiple qualified applicants for our open positions, several of who are almost always new CS grads looking for their first job. And my organization is in an area with multiple companies that hire software engineers and we typically pay somewhat below market. That experience makes me question if there is now (or even has been in that 15 years) an actual shortage of candidates for these types of jobs.