Ron - I did a little digging through the web and found this YouTube video -
Brake Line Size: Tech Tip Tuesday that I think provides an answer of sorts to your question on if these 1/8" ID flexible hydraulic lines will support your braking needs. Please ignore the ferd in the back ground.

In the video it specifically mentions using "AN3" sized flexible brake lines with 3/16" hard line tubing. According to further info I dug up, "AN3" flexible brakelines have a nominal inner diameter of 1/8" (approximately 3.1 - 3.2mm) which matches with all the currently available hydraulic flex lines we've been discussing.
Perhaps this helps in deciding what to get/use?
