Sorry about the difficulties you’re having!
Yes, chalking paint can ruin the adhesion of even top-notch primers, etc.
* Try the P/W on some of it, to see how easily the paint will come off.
* Zinsser’s Jomax cleaner is decent for exteriors.
* Pump-spray the Jomax on the house…from the bottom-up.
* Usually, bad chalking needs to be scrubbed-off…probably with a long wand, like a car-washing pole.
* Scrub from bottom-up too!
* Now you can haul out the pressure-washer!!
* Don’t have pressure too high (less than 1,000 psi!!), or you’re destroying the substrate; and keep the tip a foor away.
* Drytime…hmmmm…you’re driving water into wall…probably a WEEK or more!!
* Rinse from top-down.
Finally ready for a top-notch primer!!!
* Buy the best Exterior Latex you can find…C2 Exterior, ACE-Royal, Good-‘ol 123, etc.
* Same thing with the Topcoats…THE BEST LATEX you can afford. Don’t spend under $20/gal.
* 2 FULL COATS…nothing less.
* This may raise some eyebrows, but I’d use a Satin-sheen for the main body. Flats hold dirt too easily, especially on Stucco.
Good luck Buddy!
Keep us posted…
Faron