It really depends on what your're looking at. I don't see any appreciable amount of CA in smaller aperture low mag 6-10x binos during any kinds of use.
At 16x70, though, CA can be quite noticeable during daytime use and when looking at bright objects like the Moon and planets. On starfields, though, the difference between an achromat and an ED apo isn't particularly noticeable at all.
Increasing magnification makes the chromatic fringes and blur easier to see so IMO, ED glass is a useful addition for the bigger, higher mag binos and BTs. By the time you get to 50x in a 100mm achro BT, even brighter stars can show false color and the difference between an ED design and a plain achromat becomes easy to see.
The focal length comes into play as well; when I compare views through a 100mm f5 achro BT and a 100mm f 7.5 achro there is clearly less CA seen in the longer BT. A 100mm f5.5 ED doublet shows less CA than the 100mm f7.5 achromat. Even among ED designs, focal length makes a noticeable difference. Despite its higher mag, my WO 22x70 ED f6 shows less CA on the same targets than my APM 16x70 ED f4. Both use similar ED glass; the WO uses FPL-51 and the APM uses FK61.