While this may be emerging as a 'new norm' among younger and more IT-fluent crowd, it's historically abnormal in Australian English. For evidence, see for instance https://dictionary.cambridge.org/pronunciation/english/route... ... noting that Aussie English follows UK English in nearly all matters, and that the Macquarie Dictionary (which is the reference dictionary of Australian English) does not, unfortunately, have a free online edition.
A fellow Aussie statement on the matter concurs with my take https://forums.whirlpool.net.au/thread/3yjjxp59#r7
The tool that cuts grooves in wood, well, it seems that's from "root" meaning to dig, [2], so one would think it ought to be pronounced the same way as that, but things aren't always that simple.
There are multiple valid ways to pronounce that word across different localities :)
Here in Australia, it's commonly pronounced in a way that rhymes with "shout". Which is for the best, as "root" is local slang for sex, so calling a device a "rooter" will bring to light all sorts of connotations.