- Will bpython allow me to control a cluster of python processes to perform my scientific computation?
- Will bpython allow me to create executable documents mixing markdown as well as LaTeX so that I can display mathematical equations?
- Does bpython have integrated matplotlib support, so that the GUI thread of matplotlib runs in a separate thread and won't block the interpreter?
IPython is much more than just an interactive shell, even though the name doesn't suggest more than that.
It's also been around longer than bpython. IPython started in 2001 while bpython is from 2009.
The current IPython has several GUI interfaces, including through a web browser, with the goal of supporting a graphical notebook with embedded plots and other images. bpython does not support that.
There are very few tools in the extended REPL space. I think software developers don't spend as much time on the interactive shell as computational scientists, and those developers that do may augment the shell with, say, the emacs shell rather than develop a new interactive interface. So an early tool which works reasonably well, which has been around for a while, with few competitors, and has outreach and updates based on user needs, will tend to be more widely used.
If bpython does what you want, that's great. But the equivalent functionality is just one part of IPython.
Thus (anecdotally) proving your point, I suppose.