The read/write speeds advertised by Intel are from ATTO benchmarks, which test only compressible data.
By default, Crystal Disk Mark uses non-compressible data for the tests. To see results for compressible (i.e. higher write numbers) data with CDM, click on File > Test Data > All 0xFF (1 fill)
I don't think AS-SSD has a way to test using compressible data.