Rita,
I don't think whether you have an additional power switch will impact on the issue you report. It is just an additional piece of cable with a switch in it that fits between the b2 and its supplied power cord. It is just a convenience for those of us whose b2 is plugged into inaccessible wall sockets, or who don't like bending down to switch off. The important thing is doing the saving routine before switching off which you are doing.
It is really easy to install. When the power to the b2 is off, unplug the cable at the back, plug this power switch into its place and then plug in the power cable at the other end. Make sure all connections are firm and then switch on.
Even with this switch, it is still important to do the save routine before switching off.
I switch off when the b2 is not in use because I live in a hot climate which means the b2 tends to warm up quickly and stay warmer than I want it to be for long periods.
I do find sometimes the b2 stops responding but I haven't noticed it being specifically related to switching on. I find it comes out of it after a button press or two.