This was far from the only drawback with CDs especially early on, at least in mobile applications: the media (and thus player) is bulky, cases are fragile (in part through increased leverage), it has low resilience to physical damage, and before memory prices hit low enough for significant buffering the slightest g forces would lead to skips.
MDs were real progress on that front. Shame it was quite expensive and the digital models were hobbled by horrendous software. And obviously flash-based pmps then smartphones are their lunch entirely.