Is there any etymological link between Monopoly and Politic?
The English word is not a coinage. Per the OED, it is a borrowing from the Latin monopōlium, which in turn was taken from the Greek μονοπώλιον; cognates exist in the various Romance languages.
μονο- mono- comb. form
+ πωλεῖν to sell (see -pole comb. form)
+ -ιον , suffix forming nouns (compare -y suffix).
There are at least several Greek words which contribute to pol in English words, mostly via Latin and French.
There is πολύς, meaning many, which gives rise to poly- in words like polyester, polytheism, or polyamory.
There is πωλέω, to sell or trade, whence the non-productive and increasingly obscure -pole in words like pharmacopole, bibliopole, and monopole (a monopoly is a right held by a monopole).
There is πόλις, meaning a Hellenic city-state, found in words like politics, metropole, and megalopolis.
The suggested alternative etymology makes no sense. A mono+polis+y would be the state or condition of being a single city. Sure, politics is involved in the awarding of monopolies, but to some extent, politics is involved with everything. As to "ideological pressure" on Etymonline… really?