variac based symmetric bench power supply

In trying to simplify this design, does anyone see an issue with eliminating the isolation transformer and instead, driving the rectifier directly from the variac outputs ?
I know mains isolation would not be achieved, but other than that, are there any other issues ?

I added the new diagram.
 

Attachments

  • variac_psu.jpg
    variac_psu.jpg
    580.8 KB · Views: 65