One minor correction, the back of the tach shown in your picture is an "RVI" type, not "RV".
Succinctly, the RVI tachs are current pulse sensing and are wired "in series" with power passing through the ignition coil. Let me suggest you start by looking at this link from Speedy Cables:
https://www.speedycables.com/page34aaaa.html
I cannot tell from your picture so please elaborate with text. The spade lug you have labeled "B", is it on a small insulator plate so it does NOT touch the gauge case? (It should be insulated but I can't tell from the picture). If so, the spade lug gets a switched, 12V supply from the fuse box. The CASE of the gauge serves as an earth connection. The induction loop is made of white wire and can be connected as you describe... sort of.
On cars where the RVI tach was installed at the factory, a white wire leaves the ignition switch and is looped on the back of the gauge. The other end of that wire goes off to the "HIGH" side of the coil's low tension connections. (I do not like using terminal numbers/letters). This second end of the white wire is power "in" to the coil. The other coil terminal will have the standard white/black wire going off to the distributor.
On cars where no such wiring was already in the harness, there is a second wiring option available. You can run BOTH white wires through the firewall to the coil and distributor. You remove the white/black wire between the coil and dizzy and you replace it with the white wire going to the tach.
Regardless of which wiring method you choose, if the tach reads "funny" start your troubleshooting by reversing the two white wire connections so the current flows the other direction. If that doesn't work, sometimes making a second loop on the back of the tach helps. Remember, these gauges are old and the transistors inside are "tired". There are also articles on the web that tell you modern replacements for the transistors and the Mylar capacitors if you decide further internal repairs are required.
Lastly, if you plan on fitting an electronic ignition or have already done so, do not invest time fitting this tachometer. RVI tachs do not generally work with electronic ignitions though there are a few exceptions.
Keep us up to date on your progress.