More than likely the wagon / liftback thing is simply that the liftback isn't in their database. It may be there as a sedan so try that option.
Most of the budget insurers are just low cost variants of traditional insurers (think Jetstar / Qantas). If you go to the site for the budget insurers and look at the dosclosure statements you will find who owns them then go to that site and see all the different companies they own. It's quite interesting at times.
Budget insurers are like budget airlines though. You will get a seat on a plane but that's about it. With the insurers you will get basic cover but that's about it. Before you go with any insurance company carefully check the disclosure statements and make sure what is covered and what isn't. For example it would be silly to insure a vehicle then find that in the event of a crash you had to go to one of only two authorised repairers and both were 100km away but you were only covered for towing for 20km. Your saving would disappear very quickly. That example is made up but it's the sort of thing you have to check for.
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