The evidence for the numbers I listed is pretty overwhelming. What Ming source lists a 36lb bow? A very late (1637) Ming text says that strong archers draw 155-160lbs, average archers 125-140lbs, and weak archers around 80lbs. Selby's book lists many accounts of infantry bows at 147-167lbs and cavalry bows at 92-119lbs. Not all of these come from military exams, but such exams shouldn't be discounted. Adam Karpowicz's careful measurements and replicas of extant Turkish bows indicate an average draw weight of 111lbs. Similarly, a replica of a Scythian bow drew 120lbs. Karpowicz and Sebly identify 80-140lbs as common weights for composite bows in general. In the Qing era, about 80lbs was consider the minimum for effective cavalry use. Earlier accounts of Manchu bows give 106lbs as the average. Etc. Some soldiers in the eighteenth century couldn't pass examination with 80lb bows, but this wasn't considered acceptable. Some sources did encourage using a soft bow for mounted military usage, but this usually meant something 80-100lbs rather than extreme weights (up to nearly 240lbs) some folks would draw.
To be fair, I like Adam Karpowicz's work, but on several threads he has shown a consistent bias towards higher bow weights in his calculations from the actual result on bows where dimensions and known draw weight are available. I think there is a certain bias in the warbow community towards trumpeting the heaviest possible draw weights and the heaviest possible interpretations of bows. This may be a justifiable reaction to previous theories (and some extant theories) that heavy bows didn't exist, but it has its own problems. In addition, the sample size of known warbows from periods for which they were actually used is ludicrously small.
The textual evidence is valuable, but I just quoted a source that says 36 pounds as a minimum and you refuse to believe it, but I'm expected to take at face value your quotations of much heavier draw weights as "overwhelming evidence." The source I'm quoting by the way is the following:
"However, in the Ming dynasty (1368--1644 AD), Li Chengfen's manual mentions draw weights in the range 3--8 li (36--96#), with exceptional archers shooting 9--10 li (108--120#) [paragraphs 11C9, 11C11]. Also, in the Qing Dynasty (1644--1911 AD), we see draw weights ranging from 30 kg (66#) to 8 li (104#) [p. 346, paragraph 12D1, footnote 27 on p. 352] --- and I'm not including the strength testing bows. "
http://atarn.net/phpBB2/viewtopic.php?t=1946Personally, I'm not sure why our competing ideas can't both be right. People, and bows, would have had great variability, and quite light bows are still capable of killing. Not everyone was focused on penetrating plate armor. I mean, Chinese sources also list zhugenu as being military weapons, and we all know what light draw weights they have.
If you throw in the extant ethnographic evidence for societies that didn't have a differentiation between hunting and war bows, you find a huge number of bows with draw weights in the 50-70 pound range. This is quite a lot of societies covering quite a lot of the world, and these bows were certainly also used for warfare.
So, on the sum of things, I don't think there's anything inherently ridiculous about 50-60 pound bows being used in the context of military archery from pre-modern periods (certainly nothing meriting scoffing lord of the rings references). Clearly, it's not a good baseline for medieval English archery, and it's on the light side for Asiatic archery as well, but it certainly fits with the evidence we have for ethnographic contexts of unsegmented hunter-gatherer societies, Native American contexts (both North and South America), African contexts, and Island Southeast Asian contexts, and it fits within the range of textual accounts of Chinese archery, ethnographic examples of extant Mongolian bows, and extant Japanese bows.