On SKA from what I understand they're sampling broadband but quickly beamform and downsample as the datarates would be unsustainable to store over the whole array.
We're still in technological phase where ADCs are far more advanced than storage and online processing systems, which means throwing away a lot. But I have high hopes for a system where you upgrade computing, network, storage (and maybe ADCs...) and you get an improved sensor. Throw man-hours at some GPU kernel developers and you get new science. The limit seems more now about enough people and compute to fully exploit the data than technological...
This is also an interesting development: