Outdoors-only cats typically have a drastically shorter life spans because of disease, pests and predators. One that doesn't know anything but an indoors life will be hopeless and easy prey. Especially a lap cat.
I can't believe you're considering this just because you're tired of litter boxes. It doesn't sound like you're the only one in the family. Surely duty can be shared or made more efficient!
The cats you described of would be better off in a new home than outdoors. That's the decision the "coyote food" family ultimately came to for their replacement cats.
We never had coyotes till a neighbor started letter her cats outside.
She came to me one day to ask why my cats live for decades when she’s getting a new cat every couple years.
Apparently she likes her cats fresh.