Bells are signals and the number of rings isn’t necessarily a theological statement.
Right after the Consecration, the priest genuflects. There’s a bell to signal this. Then at the Elevation you get your 3 rings. After the Elevation, the priest genuflects and another ring to signal this. So it’s not 5 rings. It’s 1-3-1 rings. At the Elevation you get your 3 while the other two merely signal the genuflection. That’s perfectly appropriate and was always done that way by an Independent priest I know who was ordained prior to Vatican II. There are enough real issues with SSPX so that we don’t need this nonsense that just makes you look ignorant.
If anything, many SSPX chapels do just a single ring at the Elevation. SSPX-trained servers tend to do this.
I grew up at an independent chapel in the 1980's. We're talking about people who *organically remember* the time before Vatican II -- i.e., an unbroken line of Tradition. These early Trads didn't have to "discover" it or flail about trying different things to be "more traditional" -- they just had to remember their own recent past and do what they had always done!
Between Thomas A. Nelson who set up the chapel and was certainly in charge, the priest who was ordained in 1961 before Vatican II started, and all the parishioners who were born in the Baby Boom generation or earlier -- they collectively knew what they were doing. Nothing non-traditional would have ever gotten through.
1 ring, 3 rings for the Elevation, then 1 ring. That's how I was trained, and how I still serve Mass today, even though I serve for ex-SSPX priests now.
I even got a set of bells that is *exactly* the same model I used growing up. Hooray for nostalgia!