No, they are mostly correct. There is multi-year churn over the status of MQA as "lossless" or "lossy." The argument revolves around two controversies.
One is wether MQA, purely as a data handling system, can reproduce entirely bit-perfect LPCM file, say 24/96 accros the entire frequency bandwidth. Many audiophiles have a strong belief that any alterations to the original bit-perfect file is unacceptable, since it is the "true source." They are not bothered by the facts that an actual studio tracks undergo multiple non-bit perfect alterations on the way to become "the master." Since MQA is a closed, proprietary, analogue-to-analogue system, it has proven very difficult to ascertain it's exact "purity" status and MQA has been cagey on the subject The current, consensus is that MQA is not bit perfect data handling system in at least ultrasonic part of the spectrum.
The other, equally burning controversy, is the proprietary digital manipulation of the original master to reduce pre-ringing artefacts that are produced in the A/D process. Many or most ADCs used in the studio today, introduce these into the music on transients due to the popularity of linear and minimum phase filters in both recording and playback equipment. MQA claims to have analyzed popular recording chains and to have calculated the amount of pre-ringing that would be present in the "lossless master." They say they apply a reversing process to "null out" this recording artefacts from the original file. In practice, this appears to consist of applying a digital filter from the so called "apodizing" filter family, likely with varying coefficients to "null out" the pre-ringing present in the original file. This filter is also available in most modern DACs, though in a single form. Many audiophiles consider different digital filters used in digital audio to be inaudible (I don't), which suggests that whatever digital reconstruction filtration MQA is going is at best subtle. However, again they object is "doing something" to the "lossless master" which in our hobby is often considered wrong to the point of sacrilege.
Since MQA clearly says they are subtly changing the studio master, in their explanation to reduce the digital artefacts of the recording chain, they are not bit-perfect to the original by definition. They claim to produce most distortion-free analogue reproduction of the original analogue input into the digital recording chain.
This concept has been embraced by some audiophiles who have actually critically listened to it (by no means all), as it can sound remarkably not digital on much material. Others, who mostly never heard it, declared to be horrible and dangerous.
I am slowly beginning to understand (I am not the sharpest knife in the draw), that for many audiophiles, MQA approach runs counter to their belief in the perfection of digital audio and a near holly status of the studio master. They are convinced that once a mastering engineer sealed the two-track downsample for CD or hires release (after it has gone through dozens of DSP engines and effects boxes), there is nothing that can be done to improve the sound to bring it closer to original analogue.
I am listening to Melody Gardot's latest release (she is a very exacting musician) in MQA. I have listened to Qobuz version yesterday. On this type of material (on which MQA excells) it superceeds LPCM.