I don't think it is actually likely to save lives, because spiders very rarely kill. As far as I can tell, there's been one death from a spider bite in Australia in 40 years: https://www.telegraph.co.uk/news/2016/04/12/young-man-dies-a... .
The app helps people make the decision as to whether its a harmless spider or something that requires urgent medical attention.
Funnel-webs are terrifying.
In fact, since the numbers are so small, widespread useful of such an app seems like it may actually increase the number of deaths: instead of people seeing an unidentified spider and intense pain and getting treatment, people may get a false classification and so endure the pain without prompt-enough treatment ("the app says it's just a [something other than a funnelweb], I'll be fine!").
Not saying a doctor is perfect, though I find they're often better than they get credit for.