When I worked for a major database company they made me take annual training to explain that I wasn’t allowed to buy sex workers for potential clients.

That’s true, but this directs them to the owner anyway, which is the same thing. It just goes to someone else. If this was actually anti-bribery policy, gifts should not be accepted full stop.

One place i worked at collected all gifts and had a lottery at Christmas, where employees could win them. I feel that's a fair way to deal with this.

There is usually a common-sense bar where this is applied though. Some items on that list would for sure apply, but in that case the employee should politely decline, not hand the goods over to the owner. I'd like to think that's fake. But, I can imagine that it's very real somewhere.;

In some type of job it is even illegal