Not really and the fact that so many people on here view it as such tells me more about the modern English fan culture than about Klopp or Liverpool. This behaviour in Germany would have been an absolute nontopic as this is expected in pretty much every stadium. After every game you go to your support, no matter the outcome. It´s called engaging the fans, showing that the team or at least you as coach cares. It is pretty obvious that this was more about celebrating the crowd for staying and witnessing a late time qualizer than the actual result.
There is a clear lack of connection between his club and the fans, which was shown when several left early before in this season, something that Klopp voiced several times including the presser before the game. He asked them for support and later showed his gratitude for doing so. All he is trying to do is rebuild the severed connection again, to makes them feel like actually suporters and not just costumers. His ability to engage crowds and draw them in was always one of his greatest strengths, one of the reason he was so loved at Dortmund long before he won titles. The guy genuinely cares what his support thinks and acts accordingly to it.