The crucial part here is that they are LAS/LAZ version 1.4, and contain the CRS information embedded within the file, using the OGC_WKT format.
https://www.asprs.org/wp-content/uploads/2019/07/LAS_1_4_r15.pdf (see Section 3.2)
See attached, for an example file that ingests successfully onto the Reality Capture map.