I don’t know why you’re being advised to go through an eviction based on the circumstances you presented.You wouldn’t file an eviction against a tenant who has stated they’re moving out, and then voluntarily moved out and returned the keys as agreed.An eviction (unlawful detainer action) is only done to recover possession of a property that someone is refusing to voluntarily return to you.If you still need to recover money from them after they’re out, then you typically go through small claims.

Our lease waives the right to a Jury trial but the waiver might or might not be upheld because of unequal bargaining power of the parties but it's more likely to just be thrown out than to be financially punished by the court.

It is helpful especially unlawful detainer!

School doesn't teach you that, it just punishes you for making mistakes. 

I know that we get things done if there will be punishments to be late as I hate to lose $.

This means it is an unlawful order and may not be enforced.

Additionally, the courts have deemed the moratorium unlawful, so you will see these restrictions lifting soon. 

They give you a lot of knowledge about mortgage amortization, how many square feet in an acre, metes and bounds, and especially the punishments for illegal activity.

Or where, if I now bought, would there be a legal argument the occupant was unlawfully detaining my property ?

To evict,  be out the lawyer fees, 70% of the rent, and the next few months of squatting sounds like gluttony for punishment.