Yes, if that leg is not spit between the 4-way splitter in the room and the SWiM-16tomgossert said:
You should think about replacing the H24-200 in the LR with a HR34.
And to keep track, it is the tuners that matter and not the receivers or TVs. It is 8-tuners that is max for a SWiM-8 and for each leg of a SWiM-16.
A HR2x has two tuners. The HR34 has five.