Derby are an ambitious club and can be a great platform for Lampard and co, but the onlooking Chelsea directors may dream of seeing one of the club's greatest players return to manage.
Zola defended the duo with regard to Chelsea's sloppy defending - but pulled no punches in his assessment of their poor distribution.
But Cesc Fabregas slotted home four minutes before half-time for what proved to be the victor.
So it transpired. In only the 5th minute of tonight's game, Fikayo Tomori misjudged a Chelsea cross; the resulting "finish" leaving Scott Carson in the Derby goal with absolutely no chance.
"We can call it a friendly draw, but Bournemouth is not going to be easy for sure".
Lampard, who played with the likes of Cesar Azpilicueta, Willian and David Luiz during his Chelsea days expressed happiness with the performance of his Derby side.
Davide Zappacosta has played just six minutes in the Premier League but could be rewarded with a fourth start of the season, with his other three all coming in the Europa League.
His side spent long periods of the game without the ball but they competed against the FA Cup holders, who are yet to taste defeat this season.
He must at least have had a smile on his face as Derby's fans subsequently launched into an ironic cheer of "Shall we score a goal for you?" "That's why I try to just enjoy it and be up for it", he told Sky Sports.
FW Alvaro Morata, 6 - Was not helped by the rotation around him, but looked a shadow of the player who menaced Burnley and provided a focal point for Chelsea's fluid attack.
DF Andreas Christensen, 6 - Unsettled by the speed and ferocity of Derby's pressing, he played his way into trouble a few times in a manic first half.
"When I first started, Arsene (Wenger, then Arsenal boss) always gave young players a big chance in this competition, and that's why you see a lot of young talent in it", Fabregas, whose goal was his first of the season, said on chelseafc.com. That isn't normal. I did leave out of the back door here, and that was disappointing.
Derby again defied the script and scored an equaliser through Waghorn, giving Chelsea a sign of the intent to not lie down and quickly go out the league cup. "I'm a lucky man to have a night like that and I feel it".
Hazard is looking to win the Premier League title for the third time in his Chelsea FC career, having previously got his hands on the top-flight crown in 2015 and 2017. This could be the first game of many [for them] at Chelsea.