I wondered about this too. My hunch was that they might be able to use the (comparatively) small detectors on earth to help localize the direction, while using the massive scale of LISA to analyze the details of the waveforms.
Instead they might consider a second formation in orbit 90 degrees away from the first.
[1] https://academic.oup.com/mnras/article-pdf/289/1/185/1819985...
They're already planning for something like that!