This is wrong on many levels. FYI, standard copper (and brass) crimp connections are dangerous on heating elements. Most heating elements are welded to a wire, and that wire will have a steel based (nickel plated) connector crimped on.
Yes some are welded on, but many are not steel which also oxidizes at these temperatures and has higher resistance itself. It also sheds its plating easier.
First off, a properly crimped connection is not prone to corrosion.
It is as prone to corrosion as it gets because the wire is bare. If you want to only think in terms of a crimp that has a sealed sheath over it, okay then we're not just taking about crimps, but the crimp itself does nothing to seal out moisture and oxygen.
Neither is the soldered connection, but in both cases, neither the crimp nor the solder are responsible for protecting the wire from corrosion. A proper seal must still connect the wire insulation to the crimp barrel, without allowing the elements into the otherwise unprotected wire strands behind the crimp.
This is something that seldom happens with crimped wires. It is more unusual to see a sealed crimp than an unsealed.
Solder offers no additional benefits in this realm, but it does increase the resistance of the connection, which in turn makes the wire run hotter.
It is the opposite, a crimp only makes a small % contact in most DIY applications. There is a small area of contact, subject to oxidation, and when a DIY crimp rather than factory tested and validated process, they often end up failing (at least to a higher resistance) in a single digit # of years unless the wire was plated, though a longer lifespan if barely passing any current.
Solder on the other, has no significant measurable difference 100 years later. Claims like "increase the resistance" can be tested by measurement. People do it all the time. Nobody is avoiding soldered joints because of increased resistance. The suggestion is ludicrous except in very unique applications.
That in turn greatly increases the rate of corrosion if bare copper wire was used (tin plated wires hold up better when hot). And FYI, I've seen plenty of copper wire used indoors burn up due to hot connections. You can't call conditioned indoor air a "corrosive environment", and yet it still eats up unprotected copper in the right conditions (heat here is the key).
First, no you haven't ever seen a single copper wire burnt up that wouldn't be worse if it were crimped instead, assuming that the solder joint was done correctly. Second, the majority of indoor wire that gets burnt up from hot connections was due to being crimped.
On the other hand I can and do call indoor air a corrosive environment because oxidation only requires oxygen. It needs no (relative increase in) heat at all, heat merely accelerates the process.
Unprotected copper is what the crimped joint is. Additionally you're talking about using a crimp that's dissimilar metal to the wire so you also have galvanic corrosion.
If your mistaken theories were correct, nothing would work, the world would come to a standstill because most powered equipment failed right away. Solder joints are used extensively in electronics, wherever it is not so inconvenient to do so that the cost or practicality overrides good electrical design. There are cases where something poorly designed might have a solder joint failure but this is a reduced problem rate compared to crimps.
Properly designed circuits, properly soldered, tend to never have any solder failures, ever. (Edit: I take that back, now with lead free solder there are tin whiskers possible in certain situations, primarily tight pitch ICs). Crimps on the other hand are a time bomb. Fortunately if done well, most crimps outlive the useful service life of the product but again this depends on proper product design.