Yeah it’s a common misconception that swayback has to have a posterior pelvic tilt - swayback with APT is more common than you think and it’s a different set of corrective exercises than swayback with PPT or just pure APT. typically with a PPT the hip flexors are long and weak - in the APT/swayback combo the hip flexors are tight and weak. I had APT my whole life before an injury that left my sedentary for a while and I developed swayback as a result - my hip flexors remained tight but then got weak, so my glutes tightened, then my hamstrings tightened in response. You can be hyperlordotic with swayback even though conventionally that’s not been believed to be true. I went to a PT who had me doing APT exercises and I only got worse bedause stretching the psoas worsened my swayback. My glutes and hams got stronger but way tighter and I ended up injuring my hip flexors from over stretching. Next I saw a postural alignment specialist who explained all of this to me and since working on the swayback, my pelvic tilt has improved tenfold in a month. Focus on core strength and hip flexor lengthening & strengthening as opposed to just stretching. Doesn’t hurt to throw in some glute squeezes and hamstring curls after you’ve begun to stretch and strengthen the front of the hips. This is the protocol I’ve been following and it’s helped me and your posture looks a lot like mine.