Apparently, SB Nation wasn't counting the 3rd round and below draft picks in 1986 and 1987. In 1987, Amaker was drafted 55th in the 3rd round, and Nessley was drafted 116th in the 6th round. For UK, Blackmon was drafted 94th in the 5th round in 1986, and in 1987 it was Lock at 51, Davender at 60, and Bennett at 64, all in the 3rd round.
So the current, updated totals (including 3rd round picks and below) are:
Total draft picks since 1987
Duke- 43
Kentucky- 46
Total 1st round picks since 1987
Duke- 29
Kentucky- 31
Total Lottery picks since 1987
Duke- 20
Kentucky- 17
* If we went back to 1984, we would add Bowie, Turpin and Walker to the Lottery picks, while Duke had none in those previous three years
* Avery for Duke and Chapman for UK both were drafted one spot out of the lottery
Just for fun, here is the comparison from 1987 through 2009 (the pre-Cal era):
Total draft picks 1987-2009
Duke- 31
Kentucky- 21
Total 1st round picks 1987-2009
Duke- 19
Kentucky- 12
Total Lottery picks 1987-2009
Duke- 15
Kentucky- 4