The house Owner owns the washing machine.
Paying the deductible on Owner's warranty has nothing to do with (changing of) the ownership of it.
Effectively, the tenant has incurred expenses just for arranging the replacement.
Lease specifically stipulates that Tenant is welcome to use washer/dryer but that Owner is not responsible for fixing them if they break.
Note that depending on the jurisdiction this term may be unenforceable: tenancy laws often stipulate that landlords have to keep things in working order at their expense (unless things break because tenants misuse/abuse them). In this case the tenant could claim the deductible he paid. But again, this would not affect the ownership of the washing machine in any way.