It should be great, Tripp-Lite is a well established name in power control and switch products.
I've considered doing a custom inverter install myself.
The rear accessory is wired for 20A max. The front sockets are wired in parallel and rated to a max of 15A.
These are the fuse ratings, so you would want to be well below that.
I would not think drawing 140 watts off the rear accessory socket would pose a problem. Acrua's requirement sounds very conservative. Naturally, if you hardwire the inverter on the rear socket circuit, and then forget the inverter is on, and plug something else in, well, not a good practice but thats what fuses are for. You could get fancy and put in a switch so when you turn on the inverter the socket is disconnected. I am sure MDXtrous will have good ideas!