Hi and glad you are showing inititiative to help move zero forward. Thank you. I have but one suggestion and that is to NOT call the coin "zero coins" because it will only lead to confusion and brand dilution. This is NOT zcoin so why would it be called that on reddit? That all needs correction.
The whole naming issue is quite a concern, at least for me, because of clarity and ambiguity issues.
If you google "zero currency", the first two entries are not related to zero. There is a site called zerocurrency.org that has nothing to do with zero.
Also, the word zero stands for a number and it causes confusion when used to denote a currency name.
I have also noticed what you say about the google-ing hah .. zero currency is some fake note in India they printed against corruption or whatnot (if I recall the read) . mostly for the benefit of the reader, here a tiny bit of background on their version of 'zero currency' .. one possibility is to create much more of a web presence (than they ever did) so as to gain rank over the topic. although it may be a slower process and still potentially yield a tiny bit of confusion, it is not unappealing. there are plenty of coins that have names confused with other topics, komodo is (one example) the previous one I looked at and in software there is "comodo" and also something else spelled with a k that involved computers. So that is far from an original name, how could it be, named after a predatory land mammal, anyway. the point is that eventually they have earned more a name for themselves. I believe that Zero can easily do the same. it's still so young and just getting the web presence (re)organized/established. the other zero currency thing is obviously not cryptocurrency Zero currency so perhaps the confusion would be minimal.
one thing is for sure that whichever branding Zero does choose some steps soon should be moving towards establishing a better (and search-able) web presence. the more original content that gets pushed to the zero page, the better. this can include things like usage guides for the software, the -cli tool help, etc. of course all rebranded with the appropriate name. more Zero original content
about the name and number sameness, this is something I haven't considered myself