If you look at the schematic of TAF (which you reference) the Vbatt from the batteries goes to the RAM chip, ASIC and a bunch of other stuff which some controls and keeps track of time. Obviously when you remove the batteries that voltage goes away. The NVRAM can't push any voltage out to keep those running when the game is off. You'd have to go back to batteries to do that.
Now I'm not familiar with the pin-outs for the NVRAM but the Vbatt pins may not be connected to anything internally so running batteries and a NVRAM may be fine. But there are some jumpers on the Vbatt line that can be removed to isolate the RAM chip from battery voltage.
You'd basically have to find a NVRAM chip with voltage output to drive all the other stuff. I don't think that exists. And if it did you'd have to recharge the batteries and now you're into leakage issues again. You could make a plug-in power supply and connect to the Vbatt terminals, but if the power goes out or you unplug the game you'll lose the time. I'd suggest understanding the schematic and NVRAM before you start running 2 sources.