The temporary 'vasectomy' based on injecting a gel seems promising but needs more study and hasn't yet been approved in the US to my knowledge.
Given all this there's a reason natural methods like the rhythm method and withdrawal are still used despite lower than desirable effectiveness. People often talk like contraception is a solved problem when it's really not for many couples. Maybe this app is not as effective as would be desired but if it's improving on the unaided rhythm method it's still valuable.