On THD+N, ASR pretty much always provide both % and dB, in dB that is SINAD = 1/(THD+N in %) and expressed in dB, i.e. logarithmic.   S&V typically won't give you the output voltage, rendering the number much less meaningful.   AH and ASR both typically would specify the output voltage.
Crosstalk:  True, he has not been consistent and I think that is because he doesn't think it would be an issue.   If he suspect it could be an issue for the dut, I trust he would do it.   Obviously we would want him to always do it..
SNR:  Gene's would sometimes do it for A weighted (e.g. CX-A5200) and sometimes unweighted (AVR-X3300H).   ASR typically measured SNR "unweighted".