A Unitarian church, where my group used to sing once in a while, had a brochure in their rack with six pages explaining what they did not believe.
OTOH A former Lutheran Pastor i knew, went over to a Unitarian church, and was preaching what he called “biblical monotheism”. No trinitarian or sacramental mysteries.
Not then what I would theologically call Christian. Perhaps could be considered within the broader sociological category of Christian religions.
The question has been raised whether Jews, Muslims, Unitarians, JWs, LDSs, etc. worship the same God that we Christians do. That is actually a more complex question than it may appear at first glance and admits of no simple answer.
Our understanding of God is monotheistic. If there were many gods then the question of whether different people in their rituals address the same god becomes a simpler question. Which of the several gods out there is being addressed? Did Greeks who worshiped Zeus worship the same God that the Romans did when they worshiped Jupiter? But if God is singular, the question of which of the several gods in existence is being addressed becomes moot. There is no other God to be addressed so any worship is directed at the only God that can receive the worship. By default then, if there is only one God, then any worship directed at the divine must be addressed to Him. But will He accept and receive worship directed at the divine but incorrectly directed at divinity that is understood incorrectly?
I occasionally receive mail addressed to me not by name but as Occupant or Resident at my address. It gets to me and I may look at it, even respond if it suits me, but I do not mistake it for missives directed at me personally. Whoever sent it, sent it blindly without any real knowledge or understanding of who they wished to reach. If anyone else lived at my address, they could as easily receive the mail and deal with it as I. It may or may not even be appropriate for me.
Similarly, people who worship God or gods without having a clear understanding of just who God is, what He is like, etc. may be simply sending out words that in the context of the true God are meaningless, inappropriate, or even insulting.
It isn't even really a question of having the correct name for God. I respond to several names and variations, even job titles or descriptions. Hey you! may suffice, or Pastor, Tim's father, Jan's husband, or my personal name of Daniel or Dan. Even if the name is completely wrong but the context is sufficient for me to recognize that I am being addressed, I may still respond although I likely will correct the addressor.
Does God hear the worship or prayers of those whose understanding of Him is so vague or mistaken that it is doubtful that they actually are addressing who He is rather than a cosmic "To Whom It May Concern?" God is omniscient He knows everything that everyone says and does. If nothing else, He must hear everything to determine if it addressed to Him. Even Alexa hears whatever is said around her to determine if she is being addressed. Something that raises privacy concerns about smart speakers.
But will God respond favorably to prayers and worship that is obviously not addressed to who He actually is or to some generic Whoever is Out There? That is not promised or guaranteed. Isaiah 42:8 I am the LORD; that is my name; my glory I give to no other, nor my praise to carved idols. Acts 4:12 And there is salvation in no one else, for there is no other name under heaven given among men by which we must be saved.” At a minimum it seems to me that we should not be content to allow people who wish to call on God to remain ignorant of who they address, His nature and His intentions.