Pleased to oblige with some highly simplified responses:
1. Speakers devoid of resonances and (larger?) frequency reponse irregularities. Probably certain frequencies are more revealing than others.
Detection thresholds of resonances are relatively independent of frequency but very dependent on the program material - pink noise is the most revealing. Low-Q resonances (least ringing) are more audible than higher Q for the same deviation in spectrum amplitude - counterintuitive, but evidence is that we don't attend to the ringing as much as we do to the spectral bump. See section 4.6.2 in the 3rd edition of my book, or Toole, F. E. and Olive, S.E. (1988). “The modification of timbre by resonances: perception and measurement”, J. Audio Eng. Soc., 36, pp. 122-142.
Re. cabinet resonances: they are included in the 3D spinorama measurements and are not better or worse than the equivalent resonant sounds radiated by any other component in the system.
3. Early refections at sufficient level are bad.
If the spectrum/timbre of a reflection is different from the direct sound it will be more easily detectable as a separate phenomenon. LEDE control rooms and the notion that lateral reflections must be eliminated came about as a result of loudspeakers having poor off-axis sound radiation. This seems to explain why loudspeakers with well behaved (smooth and fundamentally similar) off axis early reflected sounds (around 60 +/- degrees off axis) are awarded the highest sound quality ratings in double-blind listening tests - done in rooms with NO side-wall absorption. Here is an example of how bad things were when some of these practices were being added to the "rules" for good sound in control rooms, which migrated into homes. The UREI was a very popular monitor speaker of the period - obviously the far-off axis sounds need to be eliminated/absorbed before decent sound quality is possible. Fortunately things have greatly improved. With well-designed loudspeakers wide dispersion is generally much approved of, lending a friendly sense of space, especially for those soundstage components that are hard-panned to L & R speakers - i.e. mono sounds. See Section 7.4.2 in 3rd edition.
3 Ratio of direct to late reflected sound.
The important reflections need to have substantial time delays (longer than the short-delayed reflections in domestic rooms) to support illusions of great distance meaning that they need to be in the recordings. In stereo they don't get to be reproduced from the appropriate angles. This is the dominant advantage of multichannel - the difference in "envelopment" (the sense of being in a large space) can be profound.
4 Ratio of forward sound to side-wall reflections. See above.
5. Floor reflection. If present it may reveal position, especially height localisation. This will challenge your credibility. See Section 7.4.7 in the 3rd edition. The most definitive test I am aware of was done in the Fraunhofer Institute flexible acoustics room. They concluded: "Regarding the floor reflection, the audible influence by removing this with absorbers around the listener is negative - unnatural sounding. No normal room has an absorbent floor. The human brain seems to be used to this." Humans evolved with something reflective below the feet.
6. Lower treble - may relate to a more distant sound.
This would require familiarity with the sound at a known distance in order to recognize the sound at another distance. Air absorption is the physical mechanism responsible for the spectral change with distance - See Figure 10.12 in the 3rd edition. The perception of elevation is another case requiring familiarity with the sound, and even given some familiarity our precision in vertical localization is poor.