Aha good points, I am leaping to conclusions as you say. Looking into it I can't find any statements, but one actual action Carney took so far is very very interesting:
In his first major move as Canada’s prime minister, Mark Carney eliminated roughly a third of all cabinet positions, including the crucially important Minister of Women and Gender Equality. This decision marks a major setback for women’s rights in Canada at a time when these rights are under threat around the world.
Carney, sworn in as prime minister on Friday, has justified the trimmed-down cabinet as a “smaller, experienced cabinet” positioned to move fast and secure Canada’s economy in the face of US President Donald Trump’s trade war with Canada and other threats...
The role of Minister of Women and Gender Equality has existed in various forms since 1971. Under former Prime Minister Justin Trudeau, the minister was tasked with developing a 10-year National Action Plan to End Gender-Based Violence and Canada’s first 2SLGBTQI+ (Two-Spirit, lesbian, gay, bisexual, transgender, queer, and intersex) Action Plan, as well as supporting all ministers in advancing gender equality, particularly as it relates to economic participation and poverty reduction.
Note the Department remains it is just no longer in Cabinet.
So that clearly indicates that Carney doesn't think gender/sex in any form is that important. Carney hasn't officially moved to end the existing agenda, but it is certainly not a priority for him, but also he thinks women are not important either.
Carney's daughter thought she wasn't a woman in 2019. Lots of detail here, but obviously we don't know what he thinks:
"In a world that divides people into male and female, Sasha Carney doesn’t identify as either gender"
https://www.nhregister.com/news/article/Yale-gives-students-3-gender-choices-not-all-CT-13579996.php
While there are indications that both main leaders may want to avoid the gender wars given that it is a Parliamentary campaign and the Conservative party as a whole want to end the medical experimentation on kids I think it is going to come up. Especially as Alberta has already taken action to end it and that has led to a legal fight.
Current Conservative party policy is very clear:
92. Protecting Children’s Mental and Physical Health
A Conservative government will protect children by prohibiting life altering medicinal or surgical interventions on minors under 18 to treat gender confusion or dysphoria, and encourage positive mental and physical health support for all Canadians suffering from gender dysphoria and related mental health challenges.
It is very likely that pro TA journalist will try to put Carney on the spot especially as it has implications for relations with Trump. There will be two election debates on TV it may come up there. So one way or another it is going to come up in the campaign. Obviously the campaign will be decided over the economy, but culture issues will play a part.