You claim it's 1.5x-2x faster? Sure I might believe that despite your prohibition against benchmarks.
10x faster? You better show how your engineers pulled out that miracle.
1000x? You've either picked out a very weird edge case, used something in a way it's not meant to be used, or just made that up. Anyone who's done any serious benchmarking in a competitive space will instantly recognize that as a 'that cant be right' result.