The processes of oxidizing ammonia to nitrite, and in turn nitrite to nitrate, use up bicarbonate. Fishless cycling emulates a grossly overstocked tank, and by the end of the process can have produced nitrate levels in excess of 100ppm, but 50-100 is more common. All that nitrate production can and does use up all the buffering capacity/alkalinity in low-KH water, allowing the KH and pH to decline or crash.
There is absolutely no restriction on water partials in fishless cycling - why on earth would there be? But in higher KH water there is no need to partial until the end, then a massive change is standard proceedure.
Folk with low KH water need to find this out upfront in any case, or it can be a chronic issue.