No, in the US it absolutely is rooted in the text. In Australia it is not. We do not have a long list of individual rights exercisable against the government including privacy that require decisions like Roe v Wade in the first place. If you concentrate only on the effect of "sending it back to the legislatures" then it seems good, but you must realise that doing that abdicates the court's clear, universally acknowledged and long-term role in enforcing those rights. This is an unstable middle ground, because there has been a period of 50 years in which the democratic debate around it has been completely lop-sided as the pro-choice crowd barely needed to lift a finger as the right was clear. The actual effect is already to "send it back to legislatures that are stacked with people salivating at the prospect of imposing some pretty extreme views on the majority who disagrees with them". It will take a long time to settle. And the whole time, America will have to come to terms that its most important legal body is churning out pre-ordained self-serving nonsense to reach these conclusions. There is nothing coherent in the Dobbs majority decision. The current test for "is a right enforceable" is "did laws sometime before 1850 or so allow people to do this? Before you answer, we're gonna ignore all the evidence that says yes". That's not a good place to be. It is, mind you, about as logical as the doctrine of "qualified immunity", which is kind of like a hiring freeze but for yet-to-be-encountered situations involving government workers (especially police officers) violating people's constitutional rights, such that no new (ie not "clearly established" in a previous decision) kinds of constitutional rights violations have resulted in consequences since 1982. American law is fucked up, in such a way that democracy on one issue at a a time cannot fix. Even if you managed to set forth a movement for protecting abortion rights and defeated all the state legislative campaigns to thoroughly criminalise it, you would still be stuck with a really bad situation re the rights in the Constitution not really meaning anything.
In order for American constitutional law to make sense again, they should either strip the entire bill of rights from the constitution (slowly!) or once again do a huge U-turn on Dobbs (and the cases yet to be handed down in which the conservative majority will use the same ridiculous legal test that is even less rooted in the text of the constitution than the rights they're analysing to justify knocking down the right to gay marriage etc) and acknowledge it was bullshit. My thought at the moment is that doing it Australian-style is better in the long run. You get slower progress, for example we had discriminatory laws against sodomy in Queensland until 2016 (!), whereas the US has benefited economically and socially from the extremely sound policy of abortion access (cutting off a poverty/crime pipeline) for 50 years. But you don't get the instability that results from populist movements cottoning on that an independent judiciary sits in their way. As it stands the US is there. It's a very dark spot.