Haha, yes. Internet links will squash my reality.
Things you need to keep in mind:
People use "mead" to call different things. In ancient civilizations it was wine with addition of honey. "Mead was sacred to Bacchus, the Roman god of wine." <-- Otherwise is this even making sense?
All these theories are cute and all, but I prefer a cultural approch. Mead is a word of slavonic origin and it shaped itself within Germanic languages. The alcoholic drink was known on the terrains of today's western and eastern slavonic countries, but people who came from the south were surprised to see anything like that. This means the drink couldn't come all the way from Greece or Rome and it evolved seperately. Now let's talk influence of ancient "mead" and slavonic mead.
When something is introduced to another nation, usually the nation borrows the name of the item, right? Well how many countries use naming that looks awfully similar to mead?
Madhu, med, mede, mjød, met, medovukha, mõdu, midus, meddeglyn, medica and it goes on and on like this. Now how many countries use word similar to "milities"? Hmm, oh look, none actually does. And it's mighty odd, I should add, considering what expansion the Rome had.
What is today known as "mead" had its origins in slavonic regions. If it was otherwise, the Rome would have much stronger impact on what it is called today.
You can come up with whatever links you want, forgetting that some people use word 'mead' also to refer to wines, beers and other drinks that have honey added, but that won't change the influence and shaping of today's mead was completely different from what you can read there. And even if someone within ancient civilizations actually made mead, again, the cultural impact shows it didn't expand anywhere.
If that wasn't enough, neither Greece nor Rome has any mead-related tradition. Poland on the other hand is a major exporter of mead, producing traditional mead on a large scale.