Zhivko,
We prefer if you create a new post for each new/functional question. This helps to make posts easier for people with similar problems to search. Since this line of questioning is no longer related to the buck, I split the topic into a new post.
Removing both FETs and looking at the gate drive outputs is not really a valid test because the high-side gate driver uses a charge pump which needs to reference the switching node. However, I realize you don't want both FETs on your board because of high current draw.
Could you please put the high-side FET back on the board (please use a new one if possible). Then connect/solder a large resistance ( around 50 kOhm) from the switching node to ground. It is fine to leave the low-side FET off of the board for this test because the low-side gate driver is referenced to ground. Now take the same scope shot you took for the previous post.
You have two
DRV8302 devices on this board, correct? Are you experiencing this high current draw issue with both?