A dip is a null, meaning that whatever the speaker produces, the sound will be canceled. So raising the output at that frequency will not work.
That is the case with effects like room modes causing the null, often to be observed in smaller or medium-sized rooms with solid walls. Typical for this scenario is a very narrow-banded dip at a certain position and particularly frequency, while other positions show a peak at the same frequency (I tend to do some more measurements exactly 1/4 wavelength away from the null maximum position and oftentimes encounter peaks there). I agree that in this case filling the null or applying narrow-banded filters to increase level, will most likely result in a disaster, as the peaks also increase.
Now, not all nulls are created equal, and some are not perfect cancellations. Those might be fixable.
Such effects do exist, for example as a result of light walls acting as a parasitic resonator, i.e. unwanted bass trap. Most of such cases show a rather broad dip which stays more or less the same over several positions.
In this case, applying parametric filters usually works well. While target frequency and quality factor can easily be extradited from the measurements, the exact level of boost should be judged and adjusted by ear.
There are cases in between these two extremes, like nulls resulting from a single reflection of what appears to be a more or less even wavefront hitting a solid surface (typically found with speakers/subwoofers close to each other, placed in only moderate distance to the rear wall, like 40-90cm). In this case, only experiments would show if EQ might help.
Or will the result be a disaster anyway?
Except for the pronounced room mode scenario (which can often be tackled by changing the speaker´s positions relative to the room), EQ in most cases can help with nulls. It should be noted, though, that usually where there are nulls, there are also peaks at different positions/frequencies, and these are much more audible/annoying/non-EQable.
The one thing I have learned from setting up numerous systems and tuning by DSP, is that one should never aim for a flat target curve for its own sake. It does not translate to a balanced bass, as decay and subjective energy of different frequency bands vary.