Can I prevent temporary modifications of search parameters from automatically saving?

Often we need to temporarily modify searches to run a focused query.  I notice there is an option to save, but we intentionally do not click that, however it seems any time the search runs, it automatically saves.  Is this expected?  Is there a way to prevent that?

Due to this when multiple people are in the system, when we look to run a specific search, it does not behave as expected due to this issue and often times we have no idea what the original search parameters were to reset it.