Not quite. Think beyond class antagonism as being between the owner and worker class, and retrofit it to consumer and existor classes.
As long as resources (existors) are finite exploitation exists because life's (consumers) consumption limits the potential for other consumer's consumption. Consumers inevitably must exploit existors for survival, our consumption is temporary and unsustainable, we will consume each other, entropy will claim us all.
Yes, I understand that goes a bit out of scope of base 'economics', but you're right in saying that doesn't mean we can't reach some semblance of inter-human exploitation free society, though that will be something for future generations to enjoy while it lasts.
There is 100% of resource, I take it all, you have none. I have exploited your weakness and incapacity for survival. You die.
This is the selfish survival model.
There is 100% of resource, I take it all, you have none. I give you 50% of the resources despite exploiting your weakness and incapacity for survival. We both live.
This is the selfless survival model.
These are the two base conditions for the continuation of life.
The essence of your scenario is the protection of private property.
I identified as the overarching objective the abolition of private property.
Scarcity of natural resources is intractable, yet we still seek, for the social systems through which they are managed, those that best support our shared objectives.