Whether or not you drain the RW side, I think it a very good plan to run non-tox A/F through that side because drains may be missed or clogged . If you have mufflers , this protects them too, without draining, plus any sea strainers, oil coolers and low spots on RW hoses.
The FWC engine doesn't have to be warm or t-stat removed , since ,as was already pointed out that only affects the FW side .
Some non-tox even has desirable anti-corrosion inhibitors, but most boaters buy the cheapest they can find without the CI. Generally takes 5 gallons or more per engine until the fluid out the exhaust no longer looks diluted from full strength color w/ water. My winter-storage yard over in America does this on my T/I/B's
To make sure the closed-cooling FW side remains sufficiently winter-protected for your area, I suggest you also test the antifreeze if the A/F has not been replaced this year.