I think this claim is somewhat subjective. The article provides data that shows men are more likely than women to get certain types of cancer, and more likely based on chromosomes and lifestyle choices. The article also only acknowledges the age range of men and women from 50-71, but doesn't talk about the data for men and women under that age range. This lead me to question if this original claim is accurate, and what the likelihood of cancer is for women 49 and under.
According to the American Cancer Society, women ages 0-49 are increasingly becoming more likely to get cancer than men. Shown by this graph:

This data is from a limited time period but I think it's safe to say that the original claim doesn't provide enough evidence to support itself. It's also a common known fact that women's health is understudied compared to men's health. According to an article by AAMC, it is a historically known fact that men were considered the "norm" for health and women were avoided as ways to provide data and sampling. This quote from the article says it best, "Failure to study medications and other interventions in a broad sampling of women has contributed to women experiencing adverse effects from medications at twice the rate of men". Women are not the focus when it comes to health and medicine. Thus the claim that "Men are more likely to be prone to cancer than women", is hard to prove as true or false, but it is certainly misleading, because it doesn't provide enough data.
https://www.cancer.org/research/acs-research-news/cancer-incidence-rate-for-women-under-50-rises-above-mens.html
https://www.aamc.org/news/why-we-know-so-little-about-women-s-health