I think this still applies:
"Tourist visa applicants wishing to work online (for example, wanting to check emails online) should be considered on a case by case basis. If the applicant is holidaying in Australia for a short period, and just wishes to keep on top of work back home (that is, the online work is incidental to their trip), this is not of concern in terms of condition 8101. An applicant who wishes to continue to work online, basically full-time may be of concern in terms of the genuine visitor requirement and should be considered carefully."
It would certainly put the genuineness of a being a " Visitor" in doubt.
I would also be a bit hesitant doing anything with company like the one you mention, If all she stood to lose is a bit of time then it's not a big deal , but certainly dont pay any registration fees etc.
For a company promoting that they teach English, you would think they would have had a bit more professional website!