Before the industrial revolution, land was paramount; after, capital. AGI is likely to be as significant a change, and make money (as we understand it today) less important in a similar way.
Even if AGI becomes some form of new capital, it is still the same as capital as we know it today. Until the day humanity transcends and we no longer face the human condition of course.
"Important", but not "just as important". Land used to be synonymous with wealth, because you needed land to support the peasants who grew the surplus that fed your army. Now? Now we have enough spare land to have national parks and substantial re-wilding programs.
Labour is still important, but also not "just as important" — all the improvements from each of the three industrial revolutions to date have been about getting more stuff done per person, and we're starting to get "lights out" factories[0].
My comparison is to say money will be "relatively less", rather than "not" — to the extent that money is a fungible token of power, sure, that's probably still going to be useful to someone at some point — but if we've all got our own personal yachts[1] with all the on-board hydroponics, bioreactors[2], and CNC manufactories needed to meet our material needs, even if money is still around, it becomes no more important to our personal experience of life than it is for people today to be personally concerned that the harvest is brought in on time or that the ore veins in the mine might run out[3].
[0] https://en.wikipedia.org/wiki/Lights_out_(manufacturing)
[1] Snow-Crash style: https://en.wikipedia.org/wiki/USS_Enterprise_(CVN-65)
That said, given we've already got some lights-out factories making more robots, it's a reasonable assumption they'd actually look more like this even without human-level AGI: https://scifi.stackexchange.com/questions/265026/why-dont-th...
[2] https://www.youtube.com/shorts/aMo2jVKmeoY
[3] Which isn't to say that nobody will worry, just that most won't. Me 15 years ago: https://en.wikipedia.org/wiki/Peak_oil
If humans really do become completely redundant, then maybe we've reached the end state of humanity and might as well just die out.
We're fed to the point we have obesity, but most of us still stop eating at a certain point.
We're oversupplied with material goods to the point that storage lockers for excess stuff is a big industry, but most of us don't hoard to that degree, and it's weird when we see people who do.
We're oversupplied with light to the point that we've got to remind ourselves to turn them down at night, but we do turn them off.
We do reach saturation points with these things, despite over-consumption.