We've seen them before, carrying the Aliens which had been Giant's, and here, there are clearly ex-Giant cowboys and Indians on foot, whether they picked up the last of Giant's stock from the New York facility, or were just the next Western mob to work with the factory/s which had been working with Giant remains a mystery.
Clearly marked with the Giant Hong Kong base-marking, and the better one, it suggests the poorer ones we also looked at here;
are also post-giant, which makes sense, as they often turn-up in the sort of quantities Giant never issued them in? The ones in this set however are definitely the same as Giant's output, just not Giant's!
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But is it Giant
If they were found loose they would be considered to be, but in this packaging, no, they are clearly The Toy House/World of Toys.