When you download Node.js from the download site, the binary you get is statically linked against libv8 5.1.281.81. There are a number of ways to verify this:
look for
libv8in the binary:strings bin/node | less -plibv8(this will lead you to the "5.1.281.81" string in the binary)
list the symbols in the binary and unmangle them:
nm bin/node | c++filt | less -pv8::(the
v8::symbols come from libv8).
The archive you downloaded doesn't use Debian's packaging system, so the package manager's dependencies don't come into consideration. If you didn't install the libv8-3.14.5 package explicitly, presumably some other package installed on your system depends on it. If nothing actually needs it, you can remove libv8-3.14.5 and you'll see that the node binary in /opt works fine without it.
In any case, even with a packaged version of Node.js you wouldn't necessarily see a dependency on libv8, because Node.js includes the source of the V8 engine; it's not a separate library (at least not for Node.js).
(To run the above commands, you'll need to install the binutils package for nm and c++filt.)