I woke up thinking ‘interdata’ (as an analogy to interstate and internet) and ‘interfuge’, then I realized Interbits is much more catchy, three instead of four syllables, and with mass market appeal. And the naturally fit token name is also catchy and obviously ibits.

I certainly prefer it to Hyperdata. Though compared to Oodles (leaving aside for a moment your earlier argument against it), I would perhaps judge it to have less mass-market appeal. While I do quite like it, Interbits is still more of a technical name. As you remark

The mass market website is likely to be one of the more popular DApps, so could be Uncommons, Bleep, Keeper, Immortal and/or Oodles. Users will arrive at one of those mass market DApps, and when they join they will receive some tokens. Many third parties can produce DApps, so eventually there may not be one monolithic name which presents to the mass market of users.

Netbits would the decentralized ledger project and the currency name. Most users would only come to know the name from the name of the tokens they receive.

Currently I like Uncommons for the Wikipedia, Medium, and Reddit clones¹. For a gaming portal I like Oodles or Immortal. For a Youtube clone, I like Uncommons, Bleep or Oodles. Keeper or Stor could be for a Dropbox clone for file archival and hosting. When I wrote this blog, I had also registered for example stor.app.

Interbits strongly associates with Internet.

which itself can be construed as a bit cold and technical, seeing as of course it's commonly abbreviated to "the net" or "web".

I think you’re correct. Nobody will get the meaning of the ‘inter-’ prefix as opposed to ‘intra-’.

I think we should revert to my idea from 2015: Netbits

That averts the potential trademark issues as well.

It’s simple and direct to the point. The currency name becomes the same as the project name.

The downside is it falls into the sea of similar portmanteaus combining ‘bit’ with another word. In 2015, I had purchased the net.cash domain for $500 and am still embarrassed about that. However, the singular netbit isn’t meaningful. And webbits or webits has an ambiguous spelling and pronunciation (is it “we bits or web bits”?). So which other portmanteaus that end with ‘bits’ would be meaningful? I can think of corny ones such as ourbits, mybits or newbits . Whereas there are numerous non-corny, meaningful portmanteaus that begin with ‘bit’ such a bitnet, bitoken, bitbabies, bitkitties, etc.. If we transpose to for example kittybits we probably think of the feces of a kitten or exploding a kitten into pieces.

I registered the following available domains:

$ 6 netbits.cc
$ 4 netbits.me
$11 netbits.id

Also offered for sale:

$2352 netbits.net  (immediately purchase, payable in BTC)
  ??  netbits.org

I like ibits. Concise and modern-looking, with a suggestion of "itsy bitsy"(I promise I arrived at this before I read it amongst the humorous old name ideas!) , so an implied fun element to it as well as a functional one.

The currency name netbits seems to work just as well (two syllables) and has a more explicit meaning.

To me, the highlighted text suggests it isn't really decentralised? Open to being gamed by the "volunteer moderators". Who would choose them, I wonder. So, for me, the project has a big question mark over it. A boon for yours.

Kim Dotcom never gave me the impression he was capable in the decentralization technological sphere.

Btw, there was already a Netbit which now has a marketcap of zero.

¹ _{There are many features missing from these well known websites. For example, Wikipedia’s climate data tables lack information about how humidity and wind speed affect the “feels like” heat index temperature to give a more accurate understanding of what a climate actually feels like.}