I don't know why this myth keeps on getting repeated on these boards.
As has been discussed many times before - there is no easy way of knowing the true figures for murders of TW , or TM for that matter, as there are no harmonised standards for recording this data and police forces take different approaches.
We also know that conversations with next of kin can lead to misgendering of the victim, many trans people are not close to unsupportive families who are nevertheless usually the first point of contact for police.
The same difficulty is present in the deaths of young trans people, especially teenagers, by suicide - parents will often not accept a trans identity (which should be unsurprising to people on this board), and reporting by local news agencies which notes trans identity has been taken down in the past as people are somewhat understandably concerned about 'copycat' incidents. Young friends of trans-identified people are also discouraged from trying to correct the reported identity of the young person, again, out of concern of copycat incidents.
These issues mean the true incidence of deaths of trans people is obscured, and it is not logical or possible to make statements like "It's not true that TW are at greater risk of violence. In the UK, on average 2 women are killed every week. In the last ten years, more TW have killed than have been killed."