If the question is "what changes would I like to see in the investigations by both GH and GHI?" then my answer is none. I love watching the shows. I love watching them fumble about in the dark, using equipment incorrectly, throwing around wild terminology and unsubstantiated claims. When they toss in the shenanigans…that's just icing on the cake. I'm with Learjet on this one…they are too far gone. Salvation is not at the of this tunnel.
Now, as Learjet asked "how would a group of scientists perform a paranormal investigation?" Well, my starting point would be the way that the investigation is approached. Science isn't made for the TV. Science is hard work and slow going. In no way, shape, or form is a team of scientists going to run an experiment for 6 hours and base conclusions off it. They're going to want to run countless experiments in the same conditions. That means that they would stay in the same location for months. Possibly years.
It is in this setting that discoveries could be made. I'm not even talking about paranormal evidence yet. The structure would need to be thoroughly examined to prevent contamination. Basic equipment would need to be tested in every part of the structure to prevent contamination. From this point, arguments could be made for various pieces of equipment to be included or discarded. More testing. Even more testing.
No ghost hunting yet. Theories must be devised as to what "paranormal" means in scientific terms. What constitutes solid paranormal evidence. This, most likely, is the biggest hurdle to get over.
More arguments over specifics of equipment used and settings. Possibly devising new equipment…which will take even more time because that will now have to be thoroughly tested.
Then…still no ghost hunting. A list of experiments must be devised. A schedule, if you will. Every experiment must be documented and verified using a variety of methods (ie. multple cameras show different angles of the same location, etc).
Finally…ghost hunting. For days, and weeks, and months, and possibly years…at the same location.
This is not "must watch" TV. People want results and they want them now. Science isn't like that. Science is hard work and slow going. No way around it. This is why I don't want GH/GHI to change anything. It's fun to watch every week. If you want scientists to find evidence of the paranormal….you're going to have to wait about 10-15 years for the two hour special on the Discovery Channel. Hmm…at least it will be in HD.