Yes, the quarter round (quadrant) trim, horrible stuff. Made from compacted fibre, if it gets damp, it swells up and bursts open. The UPVC quadrant trim, sold by UPVC window rim suppliers, is much better, and much cheaper.
That type of flooring, must have gaps around it, so it can freely expand, otherwise it bulges upwards, as you have found. That either means undercutting skirtings, or removing them and refitting on top, so the gap is hidden, or leaving a gap between the flooring, and skirting, with quadrant to hide the expansion gap. Your floor installer, appears to have done neither, leaving me wondering if he might have never fitted such flooring before?