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Here's at least one difference.
sage: RDF(1).ulp()
2.22044604925e-16
sage: RR(1).ulp()
2.22044604925031e-16
sage: a = RDF(1/10)
sage: a.ulp()
1.38777878078e-17
sage: b = RR(1/10)
sage: b.ulp()
1.38777878078145e-17
This seems relevant too; even though it's just printing, I think it might be connected.
sage: b
0.100000000000000
sage: a
0.1
sage: b^10
1.00000000000000e-10
sage: a^10
1e-10
