Both have the ambition to beat each other, Inter Milan wants to assert its position at the top of the standings and create a points gap, and Juventus clearly wants to acquire first place. That is the background that will be presented in the derby that I saw, the match looks like it will be very fierce, but not infrequently moments like this can also make the match look stiff, because both clubs tend to play cautiously. Statistically, Inter is indeed better, and Juventus is their most serious challenger team, because Milan and Napoli dropped a lot of points with 3 defeats. In line with you I think Inter can secure full points with a narrow win.
But in fact the match ended in a draw for both of them and this scenario was a good result for Inter Milan because they tried to play it safe so as not to lose their place at the top of the standings. Inter Milan's dominance was actually much greater and they were able to control the game, making it difficult for Juventus to maintain the rhythm of the game. Even playing at home made it difficult for Juventus to keep up with Inter Milan and they even had difficulty keeping up with Inter Milan's possession of the ball.
Vlahovic opened the scoring for Juventus in the 27th minute, making the match even more pressing and Martinez managed to equalize in the 33rd minute so Inter Milan played the match with full control. Because their finishing was less than optimal, they were unable to score additional goals until the match ended.