No, you're not stretching. They are distinctly different, but yes there are fundamental principles that are the same across the board. As they say, the devil is in the details. I am a firm believer that high frequency training works extremely well for raw powerlifting provided a) yoy know how to program for it and b) you are willing to make the weekly time commitment to that kind of training.
I find that aside from pl gear there is a fundamental glaring difference between many--not all-- powerlifters and olympic lifters that seems to make powerlifters think that it's not feasible to squat daily--powerlifters tend to push themselves way too hard EVERY DAY when trying this method and it burns them out. They grind out reps, fail reps, psyche themselves up, go all out evert single day...and then wonder why they get burned out or injured. It's just like christian thibaudeau's philosophy--it only works if you stay true to ALL its prinicples: minimize the eccentric, never grind, never fail, and never psyche yourself up for daily max weights. Always end fast, never slow.
The other big difference I see is that many--not all-- powerlifters are just plain out of shape and have shit for conditioning. That will bury you in a program like high frequency squatting. The third and final big problem I see is that people jump directly into heavy daily training. You have to work into it gradually over a period 6 or more weeks. Many olympic programs will take 4-6 MONTHS to work a lifter into the Broz style heavy daily squatting. It is a gradual process.
As an example of high frequency pl training, look at Sheiko--minimum 3x weekly squatting and benching. Some of Sheiko's programs can include 5 or more days of squatting in a week. Sheiko, btw, was an olympic lifting coach who asapted to coaching powerlifting as well IIRC. It can be done, but it should be done gradually.