Let me clarify how the conversion works between online, OTB, FIDE etc. for rapid games:
OTB = online ± 200 (sometimes it deviates even more).
Online = OTB ± 200. (sometimes it deviates even more).
Online = another online ± 200. (sometimes it deviate even more).
Chess engine calibrated rating (your true approximate rating) = online ± 200.
Chess engine calibrated rating (your true approximate rating) = OTB ± 200.
Chess engine calibrated rating = another chess engine calibrated rating ± 60-80.
Now then we also have bullet and blitz games. They are usually from -300 to +100 of your normal rating.
So, things are very simple, but they are not the way a lot of folks think they are. OTB ratings are neither better, nor worse than online ones. Simply put, ELO is a floating thing that peaks and plunges.
To sum it up, there will always be people with a high OTB rating and a low online rating and vice versa. This is especially true at amateur levels. At the higher end (for GMs) it should be much more precise with less leeway.
Disclaimer. These were all ballpark estimates and very rough formulas.
Online ratings will never get much respect. It's way to easy to cheat.