People worry less about shutter speed accuracy with digital mainly because digital gives immediate feedback. If exposure is off, you usually see it right away on the camera and can correct it before losing many shots. With film, you might not discover a shutter problem until the roll was developed, long after the moment was gone.

Shutters and electronics are also generally more reliable and accurate than older designs, especially electronic shutters. But they are not perfect: mechanical shutters can still become unreliable, and failures may show up only at certain speeds.

Also, exact shutter timing usually matters only in special cases, such as scientific/measurement use or situations involving flicker and video. For normal photography, small timing errors are often less critical because exposure can be checked and adjusted immediately, and digital files allow some post-processing correction.

One modern concern is not simple speed inaccuracy but rolling shutter behavior with some electronic shutters/sensors. In those cases, the selected shutter speed may be accurate for each line or section, while the whole frame is read over a longer interval, which can skew moving subjects.