Our diffs are open, you will find it common practice for manufacturers now days to refer to brake activated LS as LSD.
In our trucks we have TRAC, which is a type of brake activated LS that works in normal mode(no button pushed), TRAC can and will cut you throttle the same as VSC does.
Push the button once and TRAC is turned off and A-LSD is turned on. A-LSD does not cut your throttle, but it does have speed restrictions and Toyota doesn't want us to drive with it on all the time.
Push and hold the button and everything is turned off, although VSC will still engage in severe conditions.
In 4WD we have A-TRAC, A-TRAC works like A-LSD only it works on all 4 wheels.
In 4LO A-TRAC provides more brake pressure so it works a little better.
2007 DC 4X4 Limited
Afe CAI, Xcelerator Exhaust
275/65/18 BFG AT/KO