SIM-free would normally mean unlocked, and that one from JL certainly is.
(I'm not sure if you understand the terminology, but "locked" phones are normally sold by a network provider, such as Vodafone that you mention, and will only work with a SIM from that provider*.)
The phone you have bought will allow you to use a SIM from any network provider, and change at will.
(* locked phones can be unlocked at a price, or possibly the seller will issue an unlock code after a certain time - the issue is that locked phones are generally subsidised by the network priovider, and they make their subsidy back from your usage charges on their network).
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