I, also, don't believe everything I read on the internet.
We use similiar products to build antennas.
Not little antennas, big cell-tower antennas.
I personally am in charge of prototype fabrication and qualification. I have an enviromental chamber as well as salt-spray and vibration systems. We use MIL-spec testing methods to simulate years of operation, miles of operation, etc. I do this kind of accelerated life-testing ALL THE TIME! I also perform tensile testing, shear testing, water immersion testing, impact and drop testing, etc.
Keep in mind that on an antenna the adhesive is all on it's own, it isn't protected by epoxy primer, topcoat, etc, it's totally exposed. UV is the biggest killer of any plastic. On a quarter panel it's protected since it's underneath.
Now, I haven't tested actual body-bonding products, but we commonly use all manner of high-strength urethanes, acryllic adhesives, many many kinds of rtv, silcones, etc. Please don't jump on me for not testing Fusor's products, although if someone sent me a sample or something I would do it.
Anyways, we have antennas at both the north and south poles that are 30+ years old. We have antennas on the top of multi-hundred feet towers just as old, some older. We make air traffic control antennas, naval military antennas, and have sent antennas into space. You get the idea.The point I am making is my companies products are more critical and sees worse environments than our cars do. If an Air Traffic Control antenna fails, that's BAD! And the cost of installing a replacement cell-tower antenna DWARFS the not inconsiderable cost of the antenna itself. We cannot afford to have are products fail, we must super-overdesign them and constantly refine them if something comes up. Our company has a heritage of building THE most durable antennas in the industry. That is not hype, it's how we justify our prices

. But it's true, also.
We have been using adhesives for 40-50 years. We occasionally update to newer formulations if there is a reason to, but the point is this:
I understand that it feels cludgy and half-assed to even consider gluing quarter panels on your classic chevy - I really do! I feel it myself. "if it aint broke don't fix it", I'm not building a plastic car, etc. Well, the reality is that welding panels definately works, but has disadvantages in a bodywork setting. Warping, burning off paint from the backside, labour-intensive grinding, we have all experienced these at some point. A skilled welder is better at avoiding this pitfalls, but it's still a concern.
Scientifically speaking, the "jury is not still out", adhesives are a proven technology. Keep in mind, this isn't "Krazy Glue" or Elmers white glue, etc, it is super-high-tech stuff. The jury is only out on whether the average person will feel comfortable using them. But those who have to work with the stuff on a daily basis know how strong the stuff is.
I have several adhesives at my disposal just for building prototypes, and I'll say it again, if the surface is prepared correctly the adhesive is stronger than many base materials you put them on. If you bond quarters onto your Chevelle chances are the adhesive will outlast the car. They do come with a lifetime guarantee (yes, I know, a guarantee is no stinkin' good if the panels fall off, the damage is done). At least they are confident enough in their product to put the guarantee on it.
Tech Nova points out a potential problem...that modern cars are designed to absorb impact by crumpling, and adhesives can potentially make the car so strong it doesn't buckle any more. Classic cars rely more on brute material strength rather than crumple zones, so it doesn't apply quite the same.
I understand the reluctance to deviate from the tried and true and I understand why the average person off the street might question the longevity but the stuff is tested. Adhesives are worth considering, IMO. You make elect not to use it, and maybe I will too (for now). But it's not snake-oil, the technology is there and proven.
My $.02
Now I'd better get the heck back to work!