I do not have adequate information to tell you if it is better, but after comparing everything I could find on the 2 lights I would say that the modified TN31 is substantially better in several areas. One of those areas not being total light output, but it is a lot more efficient. There aren't any numbers that I could find on approximate lux of the RRT-3 but I would say that the stock TN31 should out throw it by a good bit, and the modified one would do a lot more than that. This being said I have a Fandyfire-V6 that will get out to around 1200ft and that is enough throw for me. You probably paid a lot of money for the RRT-3 so my suggestion is to just avoid the OSTS TN31 at all cost because it will blow yours away. You can check it out on the OSTS website or on the Modified TN31 thread. Saabluster will put the Modified TN31 at 240kcd on average so it is an extreme thrower.
I have both the Saab modded TN31 and Fandyfire lights from OSTS.
The Fandyfire is really terrific with a good Neutral tint without looking too yellow like some do and the throw is better than most of my smaller tactical type LED flashlights like my Olight M3X etc.
The Saab modded Fandyfire throws nearly as good as a stock TN31 and I own a stock TN31 as well to compare these against each other.
I highly recommend the Saab modded Fandyfire in every way except I wish the Strobe was hidden from normal access on both modes that it works in by twisting the head.
It is great value for a light that throws at around 117Kcd but it does not come with any spare o-rings, lanyard or holster, just bare bones in my shipment anyway.
I am going to send him an email about the o-rings especially as they can become a problem after a while.
The modded TN31 is just the best compact and versatile thrower I have ever seen yet, but it is a bit pricey if you need it shipped from the USA to another Country like here in Australia.
Check out the Goingprepared website on Youtube and hit the link to the Comparison Tests.
The link is below.
http://www.youtube.com/playlist?list=PL5DCCDFBD44A19BCB&feature=plpp
After you click on any of the tests or the Intro you will have the other video tests in a narrow long area scrolling below at the bottom of the page for you to click on and view.
ENJOY, and hopefully you will like the way he does the tests and he regularly updates these videos when new lights come onto the market.
I am sure you or any flashaholic would be very interested in his comparison tests.
It probably will answer a lot of what you are looking for and you may discover something that takes your fancy while you are watching these videos.
He has many LED lights that are all tested mostly under the same conditions and exposures in a few different updates to the series.
It has three targets in the bush at 100, 200, 300 yards plus the bush behind at around 400 yards and he shows you the spill as well.
The list of lights he has tested is up to or over 120 last time I checked it out.
I rely on his comparison tests just as I do Selfbuilt's Light Reviews.
Saab's modded TN31 really ROCKS!
Cheers