In the end, Stuttgart really didn't want to be beaten by Hamburger SV. In fact, in the second leg which was played at home to Hamburger SV, at least Hamburger SV could have better statistics and that allowed Hamburger SV to be able to win even if only by 1-0. But in the second half Stuttgart again scored three goals and ended the second leg with a final score of 1-3 and that means Stuttgart managed to win 6-1 on aggregate. With these results, of course, Stuttgart remains a team that deserves to play in the Bundesliga next season.
I think everything was clear after the first game and the players of Hamburg did not believe in a positive outcome - with such a mood (objectively justified when the result of the whole season has already been lost) it is difficult to win even with a minimum score (which will not give anything anyway). Plus, by the end of the season, Stuttgart got in good shape (by the way, they took away points from Dortmund by drawing with it - as it turns out, this was way important) and therefore they easily won the second game as well.
Hamburger's players were not confident. On the other hand, Stuttgart played well in the first match. They got a great win. After a 3–0 win in the first leg, qualification for the Bundesliga was almost certain for Stuttgart. After the defeat in the first match, Hamburger's players lost confidence. And so they could not perform well in the second leg match. They also conceded three goals in the home match of the second leg. However, I am happy that Stuttgart qualified for the Bundesliga. Because in the last few matches, Stuttgart has been in good form. It is expected that Stuttgart will be at a safe distance from the relegation zone next season.