The only problem is the Op Amp used requires a bipolar supply because the input does not operate near the supply rail. This device also has high slew rate dv/dt to switch the MOSFETs fast. The 10 MOhm feedback to (+) creates positive feedback or hysteresis for full speed turn on to drive the capacitive gate during transition. This puts the switch into a PWM relaxation oscillator mode so high bandwidth is needed as well. But this also creates output ripple if there is any inductive trace, wiring effects or load. the small cap to (-) adds some stability & noise reduction with negative feedback.
A better choice is a rail-to-rail op amp with high current drive capability such as this one.
https://www.analog.com/en/AD8028 (Dual) which operates on a wide range of single supplies and has some other features for input crossover selection. This also has very high GBW and slew rate with 100mA short circuit drive. (dont try it very long, that will blow the output)
I have no idea how much noise out it will generate (yet) nor what frequency it will regulate at with the modest small ratio (+) feedback