To me it seems that no matter if GRW theory is true, there would already be a lot of observations and evidence for/against it, since it will in quite simple situations make different predictions from e.g. orthodox Copenhagen interpretation including in variations of the double-split experiment.

As I understand it, GRW posits that super-positions exist and that all particles always have a small probability of collapse at any point in time (it has been suggested on the order of $10^{-8}$/sec but the exact value is not important for this question), whether they are measured in an experiment or not. Thus, when we have a quantum micro-system not being measured, the probability of a collapse happening is low due to the small number of particles, however, when the system is measured it becomes entangled with the measurement apparatus, which is a macroscopic object, and the probability of collapse within this apparatus is very high due to its high number of particles. Soon a spontaneous collapse will happen within the apparatus and this will in turn, due to entanglement, collapse the particles under investigation in the experiment also.

But I fail to see how this can likely be true or at least it should be easy to test if it was true: Consider the double-split experiment. From the point in time a particle passed through the slits (and is now in super-position) that particle will start having an impact on the surrounding particles, and the exact impact will depend on the route it will ultimately be seen as having taken. For instance, there will be gravitational affect on all surrounding particles (spreading at the speed of light, from my understanding), and there will also be effects due to the electric fields it creates in case of electrons etc. The effect will be a really small to be sure, especially for gravity and longer distances, but should in principle be there. So it seems the particle would become entangled with all particles and mass around it at the speed of light. This process starts immediately after the the particle itself has entered the super position (after exiting from the slit door) and before hitting the screen. If GRW is true, the super-position of the particle should quickly collapse because the particle will rapidly become entangled with so much mass that the probability of that collapsing is very high (corresponding to the measurement situation), i.e. the universe will heavily measure the particle.

So one could easily test this effect by having the photographic plate be some distance away from the slits and surrounding the experiment by a lot of mass close to it, like lead blocks or something like that, to increase the collapse-speed (note that the slit door in itself also contains a large number of atoms, and is very close to the point where the particle enters super-position, so a lot of entanglement should happen here as well in the standard experiment). If GRW is true, things could be set up so the particle should not be able to reach the photographic plate before it collapses due to the overwhelming entanglement on its way, exceeding the amount of entanglement that would occur from hitting the plate itself and which is usually enough to cause collapse in the standard experiment - thus no interference pattern would be seen. By varying the amount of surrounding mass and/or track length it might even be possible to determine the per-particle, per-second collapse rate. Has any experiments been done along those lines? 

One argument I could see against this line of reasoning would be something like "Oh, but the other interpretations will predict the same thing, they will just consider all the lead blocks etc. as a sort of measurement device" or maybe invoke decoherence to explain how the super-position would look like it collapsed in all interpretations. But I fail how to see this objection can be true because in no ordinary treatment of the double-slit experiment are the materials that form part of the experiment (slit door, electron gun, wires, whatever) considered a measurement apparatus or accounted for (be it with respect to decoherence effects, GRW-like or other effects) and clearly the effect is not big enough to cause the collapse to happen before hitting the screen, since otherwise the experiment would never have shown an interference pattern to begin with! 

So it seems other interpretations only count the artifacts that plays a role in delivering the result to the experimenter as part of the measurement apparatus that can cause collapse (i.e. the objects that form part of the von Neumann chain). However, GRW should from its formulation consider ALL material in the vicinity as candidates for triggering spontaneous collapse and this should cause experimentally observable differences as described earlier?