Yes in the sense that about 90% of hedge funds just use a SOR(Smart Order Router) from their executing broker. So from the funds perspective they are just sending an order to GS that should execute on the "US Market" and they expect GS to send it to the appropriate venue.
Most funds just trade through an intermediary like GS and all intermediaries have SOR's that route to each venue in the US as per RegNMS
The remaining 10% are your market makers and HFT's and for them this is a bit of a headache but it happens and they are well equipped to deal with this. No fund that I know of is a market maker for just the NYSE, but if there is then I guess they just go home early?
