The studies all say that HRT increases the cancer risk, sometimes significantly. Yes, there are differences in type of HRT, but all of them create a signficantly elevated risk.
Spreading incorrect information about this is bad as HRT is likely to be a difficult choice for a woman. HRT can help alleviate serious menopausal symptoms like depression or mental illness at the cost of an elevated cancer risk. Downplaying the risks is likely to cause a lot of women to make choices that they regret seriously later on.
Breast cancer dropped with a step function when HRT was stopped in general for meopausal women.
I haven't seen any studies to the contrary.