I frequently hear people saying that a noun after the word 'any' should be singular, but I've seen plural nouns used after the word 'any' as well. Please advise whether the following sentence is grammatically acceptable in using the phrase 'connecting parties' (plural) after the word 'any'.

--
Computers or any connecting parties set to standby mode will not provide significant power savings.
--

Here's some background information on the sentence. In the case here, the preceding sentence refers to an object which is a network device with expected multiple connections of other devices to it.

Appreciate your expert advice. Thank you.