Doesn't seem to be the same phenomenon. The article is dated prior to the discovery of the sources in the Time article and refers to sources in the center of the Milky Way, not extra galactic sources.
The article did not say that the sources were "broadband", but occurred over a very large bandwidth. I take that to mean that any single source is coherent, i.e., narrowband, but the population includes sources at various wavelengths. (For objects within the Milky Was, it is unlikely that Doppler shift could cause very large Doppler shifts.)
I should not have paraphrased material from the article I referenced. Here is the exact quote:
One important clue to understanding the origin of the radio bursts is that the emission appears to be “coherent,” Hyman said. “There are very few classes of coherent emitters in the universe. Natural astronomical masers — the analog of laser emission at microwave wavelengths — are one class of coherent sources, but these emit in specific wavelengths. In contrast, the new transient’s bursts were detected over a relatively large bandwidth.”
The "Hyman" referenced here is Dr. Scott Hyman, professor of physics at Sweet Briar College.
I would just say - in my own defense - that I can't figure out how they could have detected "coherence" without getting fairly high-res spectral information from the signals.