I just had look and seems most have a warranty of five years, it doesn't seem there are many outliers to that. Funnily though it seems the AC unit is most likely going to operate many times longer, as the OP points out just the controller isn't working properly, and how long would a consumer be willing to fight this in the summer in Perth.
I’ve used the Australian Consumer Law several times at this point and most times you say to the customer service rep “The Australian Consumer Law gives guarantees of acceptable durability that I do not think this product has met. How are you planning on remedying the situation?”
They’ll then generally go to speak to a supervisor.
The’ll then come back and say they’ve been instructed to help you escalate to ‘senior management’.
A day later they’ll contact you with how to get your product fixed for free.
I’ve not had a significant delay, but you’d be spewing if it was a heat wave in summer.