The bare, uninsulated crimp terminals are generally suitable where the wires are securely supported close to the terminal end. I don't suggest those double-sided tape sticky pads intended to anchor cables, for an application where there is heat or oils present, but generally OK for normal temperatures in very clean equipment.
A secure anchor point near a terminal strip can be implemented by the addition of a single tapped hole near the terminal strip, for mounting various types of hardware (rubber covered cable clamp, for example).
Sometimes I've improvised an anchor point by placing a ring terminal under a terminal strip mounting screw, then running a tiny wire/zip tie thru the section where the wire would normally go, and then securing the wire(s) with the tie.
Those AMP uninsulated terminals that eventually fail may have been crimped too tightly. An airtight connection is ideal, but any tighter, and the dies are almost pinching the wire off like a cheap wire cutter does (excessive deformation of the conductor).
Some insulation grip should be included with uninsulated-type crimp terminals, even if it's just a quality shrink tubing of the proper size (double layered would be better), but then that's a lot of manual labor/time added to each connection.
In a proper installation, wires should have some sort of secure support near the terminals, although lots of installations simply secure the wires nearby, into a bundle with wire/zip ties without any anchor.
As mentioned, the PIDG AMP crimps have additional material in the terminals, to securely support the insulation of the conductor, and in critical applications, additional support is provided in close proximity to the terminals for strain relief and protection from vibration.
FWIW, some of the high reliability/aerospace crimps are referred to as W crimps, as the terminal is deformed from both sides by the dies, so that the cross-section of the actual electrical connection forms a W shape.