After a bit of googling and reading, I have come up with the following.
Wort is made from malted barley. Liquid malt extract is made from wort that has been boiled under a vacuum. This can either be a thick liquid, or the wort can be spray dried like dried milk.
A cheaper version is to use plain barley that has not been malted, crush it, add industrial enzymes and then make the liquid extract. This is usually called barley syrup and is frowned upon to be used in brewing. Unless correctly formulated, there are the wrong mix of malt sugars in it for brewing. Problems faced when brewing with this include poor attenuation, complete attenuation and wrong flavour profile. This stuff is cheaper to produce because it bypasses the malting process. So if your homebrew kit says barley syrup, beware. Also beware of buying cheap lines from healthfood stores, they may not be formulated correctly for brewing. Rice syrup, which is sometimes available from the brewshops would also be made with industrial enzymes.
Wheat syrup would be made along similar lines. Breweries may use wheat syrup rather than malted wheat extract in a brew as it would be cheaper to obtain. Also, they may find using syrup or extract does not lead to cloudiness.
Brewing terminology suffers from shortening long names. For instance, LME, do we mean light malt extract or liquid malt extract. Useage depends on what is commonly understand in one area. Confusion reigns when a simple name or acronym is spoken to a beginner or used in another region. Another good example is the term Brix, which is used to describe the density of beer in breweries, but us as homebrewers usually use sg points.
Corn syrup is another great misnomer. The better term to use is maltodextrin. And in Australia it is derived from wheat starch, not corn.
So back to the original question, is it wheat syrup or liquid malted wheat extract? Hopefully, the next lot of info that Ross obtains from the brewery will not fall into the trap of brevity and general regional term useage.