We expect that post-singularity there will still be limited resources in the form of available computational resources until heat death.
Those resources do not necessarily need to be allocated fairly. In fact, I would guess that if they were allocated unfairly the most like beneficiaries would be those people that helped contribute to the creation of a friendly AI.
Now for some open questions:
What probability distribution of extra resources do you expect with respect to various possible contributions to the creation of friendly AI?
Would donating to the SIAI suffice for acquiring these extra resources?
I would bet US$100 that, if asked, Eliezer would say that
shows a complete misinterpretation of Fun Theory.
I'm not dismissing the possibility of your scenario, just pointing out that SIAI is explicitly excluding that type of outcome from their definition of "Friendly".
Only under the unlimited resources assumption, which is not the case here.