There is probably an overlap between Batman and Punisher readers - including, at one time, myself - but I thought I'd post this for the amusement or possible dismay of those who are only familiar with the former.
Yes, it did happen, it was not a dream, not an imaginary story, it was in 1988 in The Punisher #10. Any resemblance between this character and Alfred is probably quite intentional, as his name in the story was Alfred Coppersmith. He was the villain of the issue. He calls people "diphead" and everything, he is not to be messed with.
The DC tributes, or ribbing, or whatever it was, did not stop there, as at one point Frank Castle, the Punisher, disguises himself as Clark Kent...sort of.
Story is by Mike Baron, art by Whilce Portacio.