Improved technology for managing the caching of objects that are rarely requested by clients. A cache system can be configured to assess a class of objects (such as objects associated with a particular domain) for cacheability, based on traffic observations. If the maximum possible cache offloading for the class of objects falls below a threshold level, which indicates a high proportion of non-cacheable or “single-hitter” content, then cache admission logic is configured to admit objects only after multiple clients requests during a time period (usually the object's time in cache, or eviction age). Otherwise, the cache admission logic may operate to admit objects to the cache after the first client request, assuming the object meets cacheability criteria. The technological improvements disclosed herein can be used to improve cache utilization, for example by preventing single-hitter objects from pushing out multi-hit objects (the objects that get hits after being added to cache).