No I did not say that the matchlocks were invented in China, the early firearms the Ming used developed "natively" did not possess any trigger or modern firing mechanisms before contact with the Dutch and Portuguese. "Blunderbuss", is just the "official" translation of the word 铳, which generally referred to Chinese firearms of the period.
I don't want to side track this thread to an in-depth discussion of the Momoyama period, but dividing lord simply based on Western and Eastern allegiance at Sekigahara doesn't indicate their loyalty to the Toyotomi clan, you'd probably know that Sekigahara was more of a battle over Ishida's dominance in the Toyotomi hierarchy rather than the Tokugawa forces destroying the Toyotomi government (that was an unintentional consequence to many Toyotomi loyalists). And like you said yourself, it's potential threats, it's who Hideyoshi thought could deserve a weakening, so while damiyos like Kato and Konishi were out of the questions, reluctant damiyos who surrendered not a few years ago like the Shimazu, Chosokabe, Mori etc... were sent, and if I remember correctly, Ieyasu did not do "nothing" the whole war, Hideyoshi ordered his troops to be mobilized and on standby for at least a brief period in Nagoya, which did not mean standby in Kanto, but entailed him marching troops all the way from his eastern power base, either by ship or by land, to the Nagoya staging ground.
If you want to be pedantic, then I'll say, "Dragon of Echigo", "God of War", "First Archer of Tokaido" etc... Pretty sure many of them did believe in their nicknames, not all of them were the "Seven Spears of Shizugatake",
Not quite sure what you're trying to argue for here, if you actually went back and read what I wrote, I said the Ming did have volley tactics that were quasi-square formation like in the 15th century, but it was replaced by a somewhat more "outdated" tactic by the mid 16th century from Qi Jiguang, who recognized that the unreliability of the imperial firearms (from government mismanagement) made soldiers not want to use them -> decreased effectiveness of the previous volley tactics. And like I said, the same tactics devised by Qi Jiguang were kept, and used even by Li Rusong during the Imjin War.
So yeah, compared to the what the Japanese did at Nagashino, the Ming army of the same period, was using outdated tactics.