Exact communication of the IPS compiler?

I'm reading papers related to the IPS compiler.

I'm confused about one point: The paper IPS08 (PDF) proposed a protocol with $O(s)$ communication for a circuit of size $s$ in the OT-Hybrid model.

Are they actually assuming a bit-OT Hybrid model, where parties can perform OT on single bits? For example, the communication of GMW is counted as $O(m^2 s)$ for m parties with circuit size s.

And if you are wondering about the fact that the communication is only $O(s)$: the costs of the OTs are not counted, as they are replaced by an ideal primitive to which all the players have access.