Yes but with no data to back it up, plus you are conflating suicide rates with assisted dying.
We aren’t talking about the same population of people who then have option A or option B for ending their life. Someone who commits suicide does due to severe and untreated mental illness. Someone who chooses assisted dying is usually either terminally ill or suffering unbearably. They aren’t the same pool of people.
In the countries where assisted dying is legal, there has been no impact to suicide rates at all. Indicating that there is no statistically significant overlap in the population of the suicidal and the ones seeking assisted dying.
Men have always committed suicide at higher rates than women. That is a subject for another thread as to why that is.
In Canada:
Men actually dominate the assisted dying track 1 for the terminally ill.
Women dominate the assisted dying track 2 for the not terminally ill for the more fuzzy reason of unbearable suffering but a review of the surveys asking them why have turned up troublesome phrases like don’t want to be a burden, want to preserve inheritance for their kids, lack of social or health support for their disabilities, the council is making them homeless and they’d die a worse death on the streets.
A meta-analysis of all countries with legal assisted dying also noted that the disabled, the poor and women are disproportionately represented for assisted dying. And there is no known medical reason for that.