While this is true from a UI perspective, it is not really true from a DSP perspective.
An EQ filter is an LTI system. Fully described by its transfer function. For minimum phase systems, shifts in the magnitude response also cause shifts in the phase response. The two are inseparably linked; this is known as the Hilbert transform relationship; which only holds for minimum-phase systems.
Whenever an EQ boosts or cuts frequencies, it is simultaneously introducing frequency dependent phase shifts.
So it is literally true that for minimum-phase EQ's (the most common) you simply could not EQ a signal without causing phase alterations.
All-pass filters are another case. They alter the phase response while leaving the magnitude completely flat. So phase manipulation can exist independently, but magnitude shaping without affecting phase is not possible in minimum-phase systems.
In EQ design, the only way to decouple magnitude and phase is with FIR based designs - ie; linear phase EQ's.
Finally, there is some truth to the idea that IR's are just EQ.
- LTI systems. Captures the impulse response of the cabinet+mic+room, etc.
- Convolution with that IR == multiplication of the input spectrum with the IR frequency response.
- In that sense, a cab IR is an arbitrary LTI filter. In practice it captures fine-grained magnitude and phase detail that far exceeds what your typical EQ section would offer. But the underlying DSP mechanisms are the same.
But let's be clear - an IR is not just a handful of EQ bands, as a typical user would understand it. IR's also capture time-domain behaviour. EQ's do not replicate that, at least on the user experience side. IR's are also not limited to minimum-phase filters.
So as ever, it is more complex than a clickbait Youtube thumbnail.