Difference between Put someone’s pot on and Put the pot on

put someone’s pot on—(Austral., NZ sl.) inform against a person; destroy smb.’s prospects:

• I been there about the same time as you, Tom, and I haven’t had a rise yet. Wonder if Myers put my pot on.

put the pot on—(UK sl.) stake a sum of money on smth. such as a sporting event, etc. despite the risk of loss:

• Altamont put the pot on at the Derby, and won a good bit of money.