It depends on the data that you want to use it for. If it is OFDM then a very high GD variation is acceptable. If your data has narrow pulses close to 1/bandwidth then very little GD variation is acceptable. GD variation comparable to the pulse length will destroy the information if it is not corrected. OFDM uses very long pulse lengths.
It is also possible to remove GD variation by matched filtering using analogue or digital filters.
For narrow pulse application, do you know the standard acceptable GD variation? I did not find any standard values in publications. Different paper showed different GD variation values (e.g. 0.5 ns, 1 ns, 0.2ns , 2ns) and claimed that GD variation is good enough to be claimed linear.