By no means am I an expert at ANY of this and I may be completely misunderstanding a few of your points, but it looks like part of the reason that you are wanting to switch protocols is because it is difficult to test so much when Queenie is going low. And that it is sometimes difficult to be able to monitor a kitty that is bouncing in the 50s and 60s.
Using the GS method does not guarantee that Queenie will NOT go into the 50s and 60s, it just means that you may not be as aware of it. You would be relying on the secondary signs of a possible hypo, as stated in the handling low numbers (or wherever it is listed) and probably if seeing some of those signs, testing anyways.
From what I am reading/understanding from your post and concerns, you are thinking/hoping the GS method will calm some anxiety and fears regarding the lower numbers. The GS method is not going to relieve any anxiety that you have regarding the numbers you are seeing, you just wouldn't be seeing them. Skooter and I have been doing this dance for almost a year (diagnosed in April, insulin started in May of 2014) and I will be honest, I still have no idea what his spreadsheet reads. I do know that he typically nadirs early and that is about the only pattern I have noticed. HOWEVER, there are amazing ladies on this web site who DO know how to interpret the spreadsheet and find those patterns. I rely on them to point out those patterns and help me to start looking for some myself.
After collecting all the data I have, as I said before, I have learned that Skooter nadirs early. So on nights where I really need some sleep, even if he does a pretty big drop at +2 or +3, I know that he is gonna nadir by usually +4 or +5, so I can still comfortably get sleep that I need. The other thing I have learned is that when Skooter is dipping into lower numbers (32 being his lowest), he showed no signs at all of being that low. The only way I knew that was from just a random test that I did. So while it is great to have the signs of a hypo, Skooter didn't bother to read them so that he knew how to tell me he was going super low.
Right now, with my work schedule you will see that I am rarely able to come home during the work week to test him and tend to do a lot of night tests and weekend tests. While not ideal, it is what I can do with my schedule right now. When work permits, I absolutely come home to test him because for me, the more data I collect, the more I will understand SKOOTER'S sugar dance. As we all know ECID and they each dance to the beat of a different drummer.
From my perspective, TR protocol is not about getting the lowest number possible, but keeping our cats under renal threshold and added bonus of the normal range of 50-120 as long as possible as that is when the pancreas will do the most healing.
I get the stress of this sugar dance, you can ask anyone here, there were many a night where I cried and every person here took turns letting me use their shoulder, once I got one super wet with tears, the next person was there
Again, I may be misinterpreting your statements, but you remind me a lot of me and I know that I need to get as much information as possible. I have a feeling that if you were to try the GS method, you would end up testing at the minimum needed for TR anyways.
The insulin and your cat have no idea what protocol you are following, and neither really cares. They are going to work how they are going to work regardless of what protocol you use or how often you are testing. For me, as exhausting as this dance can be sometimes, I would not do anything differently. The other thing to keep in mind, this could possible be a short term thing in the grand scheme of things with the ending result that you are no longer giving insulin and testing weekly or monthly if she gets OTJ.
If I am completely off and misunderstanding your concerns, feel free to disregard my entire post

Also, for any of those "wise timers" (didn't want to say old timers

) reading this, if I am completely off on my interpretation of the different protocols, please let me know.
In the end, you must do what is right for you and Queenie, but wanted to throw this out there