Hi MflyerCVG,
In Australia, you could get whatever coffee you like.
Here's a quick guide:
For drip/filtered coffee, most chain hotels should have the USA-style offering of a mini percolator, filter and a sachet of coffee.

In the lounge, you should be able to get espresso, made to your request (I think a double espresso shot in an americano aka long black is a great startin point).
In some cases there may be filtered coffee available in huge quantities, in a large jug.

In lower-end hotels, expect to have just instant coffee sachets and an electric kettle jug.

French Press (Bodum & imitation french press homewares)
French presses are very easy to find (any supermarket or Asian $2 shop) and ground coffee is available at any supermarket in 250-250G packages.

Lots of office workers buy 2-3 espressos a day, but others use a french press and their own, brought-in coffee.
Our office meetings are supplied with ground coffee made with a french press.

General estimates in Oz:
Yes, for non coffee drinkers and older people, the convenience (and heavy marketing) of instant coffee at home means 80% of houses might have instant coffee in the cupboard.
But I'd estimate 50%+ also have a dripolator/filter coffee machine gathering dust somewhere and maybe 25-40% have a french press, too.

40% of homes would have some kind of espresso machine as they are the new toaster of gift giving.

Probably <20% of homes use these gadgets- primarily a semi-automatic or automatic machine.

If you prefer french press style coffee, then go for it.