Like I said, this rumour is ancient, and we never really had it properly substantiated or contextualised.
That is why I'm not a huge fan of resurrecting it willy nilly, because it doesn't actually help the conversation.
So this was the original source for a lot of the details we’ve been told about the development history of the WS-10. No mention of the spool up time issue, but there is mention of stalling under certain flight conditions. And apparently there were as many as 20,000 other issues according to this account, so it’s not improbable that there may have been a spool up time issue as well, especially since a lot of the issues with the Taihang seemed to involve very poor pairing between the fan and compressor design. In fact I suspect what the “spool up time” issue really was, when considering the particular issue of the fan and compressor stages not working well together, is that if the engine stalled from something like the fan choking flow to the compressor, the same conditions that led to the stall probably also led to unreliable or delayed recovery of thrust, which would then manifest as an inability for the engine to readily to spool back up.
At least according to this account though these were problems encountered in the very early days of the engine’s production, and the issues should be more or less resolved by now given the kinds of revisions and updates as laid out in the piece.