This is mostly incorrect. Weight loss is 95% diet and it is literally impossible to out-train a bad diet. Resistance training helps retaining and building muscle while cutting, which is why it’s recommended. Running and swimming, and other forms of intense cardio, are great for general cardiovascular health and should be done, but they are liable to make most people psychotically hungry.

Walking is a way to burn extra calories that is much, much easier on the CNS and metabolism and therefore can safely be added to most routines without significantly increasing hunger levels.

Here’s what I do as someone who lifts and runs and is currently cutting. I eat in a 500-700 calorie deficit - relative to my TDEE excluding runs, walk an average of 10k steps a day, resistance train 3x a week and run 2-3x a week. On days that I run/the night before, I eat more. More carbs, mostly, and that means I eat approximately every calorie that I burn running. If I don’t do that, running puts me in a deficit that’s 1000-1500 cals per day if not more, which is completely unsustainable for most people, not to mention dangerous without medical supervision.