Capacitor charging curve when using a voltage regulator with current limiting?
Yes, the capacitor charging curve would at first have a linear voltage-versus-time section if the charging was initially current limited. Easy to simulate:



simulate this circuit &ndash; Schematic created using CircuitLab
Running a sweep over IMAX at different current limits yields the following plot:

The lower the current limit, the longer the charging is current-limited.
But to answer your question directly, yes, the shape of the curve is distinctly different from the normal RC charging curve.