I don't think they will need to cut the dividend. In 2023 KHC generated $998 million FCF in excess of its dividend. In 2024 $1.229 billion FCF in excess of the dividend, and in 2025, they are expected to (according to Merrill Lynch) generate $1.370 FCF in excess of the dividend. It helps that they are not increasing the dividend per share, and the buyback is actually reducing the total dollars paid out (3.4% lower over the last two years). I do think they are going to prioritize debt reduction over share repurchases in the near future, but unless free cash flow were to decline materially, I don't see the need for a dividend cut.
I agree with you that banking is a better business than some of KHCs worst brands. I do find comfort, however, in the fact that KHC traded much higher in the past with these same exact brands. And the new CEO was able to get growth out of Kellogg's brands so maybe he can do the same here. Growth or no growth, I think lifting the Berkshire overhang alone could bring KHC back up to the high $20s. With a 7% dividend, you don't need much to do well.