It's my understanding that the hormone-releasing implants for the women are birth control - remove it and you can get pregnant again in a month or two. I see this is an arm implant, not an IUD as a couple of friends have used (and subsequently removed and had a beautiful healthy daughter), so I may be incorrect.
But yes, the vasectomy offered to the men is far more permanent than "birth control".
India pioneered a "reversible vasectomy" [1]. Basically they gum up the ducts from the testes. It does not have to be irreversible.
The thing to watch is whether knowing they have become, at least temporarily, infertile, will lead them to unsafe sex practices resulting in more venereal disease.
But yes, the vasectomy offered to the men is far more permanent than "birth control".