1. A method for managing data integrity in a computing storage environment, by a processor device, comprising: applying a copy-on-write technique to a cache in a computer storage system such that each interleaved write arriving in the cache is assigned to a separate new physical location and registered sequentially in an order the write arrived notwithstanding consecutive writes, received in due course with the interleaved writes and being written to a same data block in the cache, are written to a same physical location such that the same physical location is reused for each of the consecutive writes, for preserving a state of the computer storage system during a failure event; and triggering a destage operation using an existing least recently used (LRU) algorithm while commensurately destaging the interleaved writes in the order the write arrived in cache such that the LRU triggers the destage operation yet the interleaved writes are additionally destaged with LRU data during the destage operation in the order the interleaved writes arrived in the cache.