It's power filtering. Yes the engineer had something in mind with their 3.3uH, but going with 22uH shouldn't make too big of a difference. If that one is easy to obtain for you, go for it!

I would still try to match the original value, or at least close to it. Small inductors have poor DC resistance with higher inductance values, also a lower maximum current limit that you need to stay below. If that chip it's powering consumes 135 mA, you could already be at or above the allowed limit for a 22 uH inductor according to the datasheet you linked (85 mA, 150 mA for the smaller packages).