Independent podcasters are probably using whatever they know and can afford. I would guess fewer of them use Pro Tools than you might imagine. I suspect Adobe Audition is used a lot because many broadcast journalists of a certain age cut their teeth on free versions of Cool Edit. I imagine their younger colleagues are using Audacity instead, because free is free.
Some podcasts originate with major broadcast organizations, and the bigger the organization, the more likely they are to have standardized on something that you wouldn't expect if you're coming from a music studio background.
For large organizations,
Magix Sequoia makes a strong case for itself. Unless you're a classical engineer who needs non-destructive 3-and 4-point edits to assemble multiple takes that weren't recorded to click, or you're a mastering engineer whose life revolves around PQ codes and DDP files, you're unlikely to have considered this DAW. After all, everything else you might care about for ordinary music production works exactly the same in Samplitude, which costs 1/5 the price. But a significant portion of the Sequoia installed base consists of large broadcast organizations, because Sequoia includes a ton of broadcast-specific features. Examples include: strong support for loudness normalization, network sharing of audio clips, integration with broadcast automation systems, automatic batch processing, triggering of audio cue playback while recording a show, and the ability to be playing the front of a project live on-air
while you're still editing the end of it.
More details here.
A DAW like Sequoia makes sense for a large organization that employs a cadre of professional audio editors, but the learning curve is pretty steep for your average independent broadcast journalist. They need something that's lightning fast and very easy to understand, like Cool Edit used to be, but with the capability of handling modern broadcast concerns. It turns out that there's a DAW built specifically for them:
Hindenburg is a fairly new DAW that was built from the ground up for exactly this use case.
David L. Rick