There are articles that say how one can set up and then move your messages
to 'non-Apple SMS' phone ~ that hasn't a native ability to use iMessages.
My experience is limited, regarding your question. Most non-apple cell phone
users I know have access to all features that messages allow; just that they're
unable to enjoy the 'better feature set' & higher security that iMessages afford.
[I've gotten a few mixed recipient Group messages, with at least two, and up
to four non-Apple product users. My preference is to avoid Group messages.]
Not sure how that works, since even an early iPhone SE such as I have, can do
iMessages and takes calls/messages from Android (& etc users) as SMS. With
later iOS 13.4.1 and older Mac OS X El Capitan, I can still use iMessages; and
since the 'hand-off' between these allows me to use Mac for text, that's OK.
That said ~ I've not set up any other cellular phone to use a non-apple SMS.
And any reference to learn how to do that, would require me to study or 'search
for' Apple support site links, in the wild. The home page to the following link is
support.apple.com/guide/messages and that covers many details; I don't know.
• Set up iPhone to get SMS texts on Mac - Apple Support
https://support.apple.com/guide/messages/get-sms-texts-from-iphone-on-your-mac-icht8a28bb9a/12.0/mac/10.14
The above article covers reference to non-Apple generic SMS, also iMessage.
• Deregister and Turn Off iMessage - Apple Support
https://selfsolve.apple.com/deregister-imessage/
"To use Deregister iMessage, enable cookies in your browser and try again. ...
You may need to turn off iMessage if you are now using a non-Apple phone
and can't get SMS or text messages someone sends you from an iPhone."
And other links have secondary info linked. I'm not an expert; just a volunteer
here. Not compensated; not an Apple employee. And I've searched interwebs.
Default for non-iMessage phone users is SMS.
• SMS and MMS text messages - Apple Support
• Use Continuity to connect your Mac, iPhone, iPad, iPod touch, and Apple Watch - Apple Support
• Use Messages with your Mac - Apple Support
Good luck & happy trails!🌞🌎