Following the post I did on the possibility of Unarmoured cavalry - https://mortem-et-gloriam.co.uk/smf/index.php?topic=1946.0 - here are a few more things.
Western Han
All mounted armies and the use of Dependent state cavalry both initially date from the reign of Wudi (141 BCE to 87 BCE) - so suggest these are date limited to "From 141 BCE".
Eastern Han
From David Graff's "Medieval Chinese Warfare" and others - the Eastern Han relied heavily on the Dependent state and Tribal auxiliary cavalry and these formed the majority of their cavalry from the outset of the dynasty. Even the guard cavalry were recruited from these sources but were standing army troops. Graff gives an example of an army of 50,000 (the context suggests wholly cavalry) in 89 CE where only 8,000 are Han Chinese, the rest are auxiliaries/dependent state troops.
I'd suggest that to better reflect this that the number of Volunteer Army cavalry is reduced to 0-6 so that large cavalry forces are going to have a significant auxiliary/dependent state component. The guard cavalry numbers are OK though.
Another example Graff gives is that armies in 73 CE also included cavalry from Wuhuan, Xianbei and Southern Xiongnu - these appear to be allies rather than the auxiliaries, etc. mentioned above. The only ally allowed to the list is a Southern Xiongnu in 187 CE. I'd suggest that the list is allowed these from the start date and also be allowed Xianbei allies (which would cover the Wuhuan as well as I don't think they have their own list) from the start date as well.
Lastly (for now) I think there is a good argument that this list should end at 189 CE and not 220 CE. The latter date is the date that the last Han emperor was overthrown, there had been no centralised Han power since 189 CE and there was rampant civil war along the lines of the later 3 Kingdoms (the setting up of which just formalised the de facto state of affairs). The Shu, Wu and Wei lists in the 3 Kingdoms PDF would then start at 189 CE.
Been going through Rafe de Crespigny's "Northern Frontier: The Policies and Strategy of the Later Han Empire" and have come up with a couple of things.
Under the Eastern Han the system of conscript armies was ended in favour of a small professional central army mainly supplemented by the dependant state and tribal cavalry (as noted above). These were supplemented by conscript troops but these were now a local militia with limited training (if any) - de Crespigny sees the militia as pretty poor troops. However, the northern border commandries did have some garrison troops as well (needed to man the walls, etc.) and their militia may have been better than those in the interior.
Suggest to me that the militia types should be Tribal and maybe Poor but allowed to be upgraded to the current Volunteer Army classifications for the border commandries (or a downgrade for the lesser troops).
During a major rebellion of Qiang from 107CE to 117CE some of the armies fighting the rebels had, oddly, large number of Qiang troops as well as local troops - presumably "pacified" Qiang. These appear to have been infantry. So this would justify Qiang infantry available between those dates I think.