That works fine. Right now, with our public display, we run a BASE2/CAB2 across three Z4000 transformers in total (6 loops).
Right now, we do so by feeding the signal into the common (black) side of the transformer using a splitter like is used for audio installs/DJ setups. Use these because they're easily plugged in/unplugged with banana jacks like the TIU/Z4000 transformers use as well.