The conduit is made up of the following layers from the outside: special protective coating, hot-dip galvanized, steel pipe, and special inner coating.
The spec for an LR4 rail is: 29.5mm, 30mm, or 32mm +/- .2mm for any size tube OD.
At least 1.3mm thick.
You’re fine on tube thickness.
One thing to watch for is tolerance stackup. If your OD is at the minimum of the Panasonic spec (31.6 mm) then it would be below the minimum OD of the LR spec (31.8mm).
My experience with quality Japanese manufacturers is that they are great at holding very tightly to a spec with far less variation than allowable.
These should work fine.
Like all good designers, Ryan has a little bit of margin in his specs.
I’d advise you measure them when you get them, and have a test print brace to do a trial fit.
I bet it works great.