You raise a valid point - the Brazilian and Argentine Mausers get high praise and rightfully so, but the Chilean, Peruvian, Venezuelan and other South American Mausers get left off the list, at least in part because they tend to have been used, not stored.
I have specimens of all the Mausers you list and a few more. They all have been put together with high European standards. As mentioned, if they are in decent condition they are very reliable and accurate. Some have been retrofitted with surplus Springfield barrels by cutting off the threads and being set back and chambered for 7.62 Nato. Some just set back the existing barrels and rechambered them to 7.62 Nato. The latter can be hit or miss as far as accuracy goes because they were originally chambered for the 7.65x53, which had .310+ bores.
Whatever, for some vague reason the South American Mausers have been grossly overlooked and there are some real gems to be had at extremely reasonable prices. South American history is rife with civil and international conflicts and most of these rifles have seen service.
The thing is, some extremely difficult to find examples of European make Mausers can be found in these relics. M89/90/91/93/95/96 and 98 Models are still relatively common. Peruvian 91/93/95/98 models with Lange style rear sights made by the same people that manufactured the Gew 98s and earlier models used in the trenches of WWI and other earlier conflicts as well as later conflicts. The thing is that they are usually less than half the price. Why, because they weren't used to shed European conflict blood???? When South America was colonized, they brought all of Europe's corruption and racism issues with the colonists. The governments were notoriously inept and corrupt just like Europe. Mind you they did leave their Royalty behind for the most part.
South American history is bathed in blood. For the most part and even now, their firearms come from offshore suppliers. Brazil and Argentina are the major exceptions.
It is my firm belief that Portuguese, Italian, South American and ever more popular Japanese surplus conflict arms will start to bring in some very serious coin in the none to distant future. As the quality of European conflict arms starts to deteriorate and become less available for many reasons the underdogs will start to look good and once they get known, they will garner more appreciation for their quality.
Mexico is a good example. They had a thriving arms industry for a while. The made some excellent firearms. I haven't kept up with their recent history but I have three examples of their production that are very well made, accurate and reliable. The crests over their receivers are very nice as well.