I do business with several Chinese companies and have had numerous conversations with them (some face to face). This is not actually a criticism in the way it might appear. It is a little like how some cultures enjoy haggling when negotiating. It needs to be factored into any purchase, "buyer beware". Before making a large purchase, I order, test and verify and then periodically retest. It is part of the overhead to be factored in against the often very large discounts they provide. It is, despite this hassle, worth it.@ "Do not trust the Chinese. This is a bit of a cultural thing." ....I disagree here very strongly ... BUT... everyone is entitled to their own opinion, however much of an absurd over generalisation that may seem to me.
You need to distinguish heat sinking and heat removal from active cooling, as with a TEC. You could run these diodes well past 1A if you can assure that the diode does not rise above room temperature. Effective heat removal is where the magic is. It is hard to extract a lot of heat (thermal energy) with a low thermal gradient. Use clean, extremely flat surfaces with a tiny bit of thermal grease, or better, indium foil tightly clamped down, large interface areas and very fine finned heat sinks with powerful fans. Or, as I said above, a water cooling block. These water cooling modules are worth a lot more in their effectiveness than a powerful TEC.Can I run them at 1A with little or no cooling?
You need to do some testing. The questions you ask are reasonable, but without some hands on experience, you are running up against the wall of the "black box mystery". The real attraction I have to laser projection projects is in fact the testing. How can I get the best results, better than others have achieved? Get some prisms and some cylinders and try to produce the best beam quality with each. You will then understand what you are now having to take on faith.