I think a misconception that you have is that a tenant can simply “end their lease” by moving away. Just because the tenant moves away and abandons their home does not mean they have legally terminated their lease. There are many instances where we evicted a tenant who moved away. There was one case where a tenant “abandoned” the unit, so we began to discard her stuff. Then, her attorney called and threatened to take action. Our attorney said it is difficult to prove exactly when an "abandonment’ occurs so we should proceed with an eviction, and we should file before her attorney files against us, so we did.
Now, anytime we think there may be legal issues, we proceed with an eviction even if the tenant is nowhere to be seen. After all, are you qualified to say your tenant didn’t take a 4 month tour of the South Pacific on his yacht, and he decided to dock it and return home only to find that you discarded his stuff including the priceless coin collection hidden under the rotten subfloor? Do you want to be held liable for that coin collection? Well, if not, the eviction gives you closure.
Regarding abandoned homes, you cannot assume that your tenant owned the home.
Tenants often informally transfer ownership, but never officially transfer the title. In the states where we work, we conduct a title search to find the lawful owner of the unit, and we send notice to them. In our latest case, a tenant who claimed to own the unit left, but when we did the title search, we found the registered owner died 12 years ago. To comply with state law, we sent a certified letter to the deceased owner at his last known address giving him 30 days to remove the home. When the deceased man did not respond or remove the home, we were allowed to begin the process to take possession. Of course, each state has different laws.