Yeah , alkyds ( enamels ) don't work with water .  --- with the exception of the chemically modified ones that do , see Winsor&Newton Artisan series .

The reducers used for alkyds aren't necessarily that toxic .

Mineral spirits . Turpentine .

yes , your order of operations is correct . It can be done with all acrylic also if using hairspray or another release layer .

I go with alkyd primers all the time so I can remove the acrylic color coat if needed or facilitate chipping / fading  - with or without a release layer like hairspray .

You can remove the acrylic with alcohol and not worry about it having any impact on the alkyd primer or base coat  .