Nobody is asking for it, but that’s not the purpose: the purpose is to stir up opposition.
I suspect a significant portion of the population will be indifferent to the proposal. At best, they’ll shrug and say, ‘Sure, makes sense if that’s what’s needed,’ without bothering to think it through fully.
More liberally minded people react with justified opposition to the proposal. At that point, the Conservatives will rally the indifferent against ‘the woke’. They hope to gain support by convincing people they have a common enemy.
Whilst that’s a possible explanation, correlation does not imply causation. There are many other potential contributing factors (increased loneliness, economic hardship, acceptability of suicide, changes to how deaths by misadventure vs suicide are recorded, etc) and more research will be needed to identify which, if any, played a role in the observed change.