Many European countries enforced very strict lockdowns. Their numbers had diminished to almost zero. And yet now, they're seeing a resurgence.
The total area under the curve isn't changing. Not for them, not for us, not for anyone.
Only an effective vaccine, or reaching herd immunity (if that's even possible), will stop the spread.
I don't believe we'll ever have an effective vaccine, and the lockdowns are, in reality, effectively delaying the global population from reaching herd immunity, making all of this last longer rather than diminishing its impact.