My take on this would be that the issue here is going to prove to be one of overeating in general where one's diet includes a) too much carbohydrates and b) to much protein. An oversupply of carbs promoting diabetes and heart disease and an overconsumption of food in general and proteins in particular promoting cancer.
Thus keeping overall calories down is necessary, as is eating moderate amounts of carbs and proteins, where the carb element should be limited to the carbs necessary to get the other nutrients supplied by them, and the protein element is a function of age, effort expended and the need to supply the correct nutrients to let your body replace what needs replacing without flooding it with an oversupply. The balance of one's food then coming directly from fats of whatever kind.
This is entirely consistent with too much protein included in one's diet as opposed to too much animal fat per se. i.e. when we eat the building block of the body, protein - to excess we encourage growth and with a mature body what then grows is the next thing in line - cancer. This would thus be entirely consistent with height being a factor - as in order to grow, one must consume more protein.
An ultra ketogenic diet ( 90% fats ) is known to be beneficial to cancer patients because the cancer can't feed on ketones but does feed on glucose. In those circumstances it seems a bit counter-intuitive that somehow its the fats that caused the cancer to grow in the first place.
In nearly all highly developed economies, the fear of fat is so pronounced that most "high quality " meats consumed as meat is the lowest possible fat varieties- with all fat cut off - thus its also hard to make the connection that is it consumption of animal fats per se that causes cancer compared to anything else.
Where fat from meat is consumed in any quantity it is often because it provides flavour as part of the various processed foods on offer. Thus its difficult to see if problems associated with those foods are connected to the meat fat content of the product or all the other garbage included through its processing.
This is an interesting set of long term graphs.
https://authoritynutrition.com/11-graphs-that-show-what-is-wrong-with-modern-diet/
I was fascinated to find this comment on the NHS website
While eating too much saturated fat may not increase your cancer risk, it can increase your risk of other health conditions, such as coronary heart disease.
so currently the NHS has bet in entirely the opposite direction to this study
My own money is keeping my protein and carbs combined to less than 100g, ie about 30 carbs and about 70 proteins, and preferable 90 ( i.e. 60 protein) not worrying too much where the fat actually comes from as long as its a natural product of whatever variety and keeping my diet as varied as possible.