The answer is simple, stop using this mantra 😊
My mantra.
There is what you call “ordinary lossless”.
This is what I call Redbook (indeed the Audio CD standard was published in a book with a red cover) or CD quality.
This is 2 channel PCM audio with a 16 bit word and a 44.1 kHz sample rate.
This covers a dynamic range of 16*6=96 dB and a frequency range of 44.1 / 2 = 22.05 kHz.
Bit confusing as Hires is always lossless (with MQA (Music Quality Annihilated) as a noteworthy exception) but please, please, please not another MQA discussion.
Let’s define Hires as PCM audio with 24 bits allowing for a (theoretical) dynamic range of 144 dB and a highest frequency of ½ Fs (the sample rate) and FS being 88 kHz or higher.
If we talk HiFi, this late 70‘s compromise (the audio CD) is a bit frugal.
A symphony orchestra can easily produce a SPL of 120 dB.
Motörhead can probably top this (or the Who, talking about my generation)
A cymbal can easily produces noise far in excess of 22 kHz.
So this format cannot contain “all” what is produced during a recording.
It is not HiFi 😊
If we look at DVD audio, it can easily contain stereo in e.g. 24 / 96 and this is probably the sweet spot.
A bit overkill, you will be hard pressed to find recordings with more than 20 bit musical information and likewise substantial information in the frequency domain up to 48 kHz.
Anyway, from a technical point of view it beats the CD, better overkill than underkill.
Than there is something like gear.
Modern 24 bit DACs can perfectly cope with Hires, frequency is not the problem, linearity over 20 bits idem.
Power amps is more a problem. A dynamic range of 100 is good.
Only the very quiet ones like Benchmark AHB (Zetec) or NAD (Hypex nCore) or Cambridge Evo (Eigentakt by Purify) have a clean 120 db range.
So you can make this tremendous dynamic range audible using one of these amps but you do have to play loud, FFF loud.
Your family and your neighbors will love to listen to the same high quality music as you do.
Our hearing is gapped as well, 20 kHz when young and lower when age related hearing loss sets in.
Likewise most of the time the tweeters are limited as well to something say 22/25 kHz
Makes you wonder what the case is for frequencies above the upper limit of our hearing.
There are some phenomenon like no brick walling, IMD, time resolution, etc. but not a very strong case.
Science has something better to do of course hence scientific evidence is spares.
The few scientific studies known to me in general show that trained listeners can discriminated between CD and Hires but often struggle.
My personal take
If I have to choose between a lossy and a lossless download, I go for lossless.
Just for future proofing (can convert to any other lossless format without loss) and peace of mind.
If I have to choose between 10,- for a Redbook download and 20,- for a 24/96 kHz, I go for Redbook as I simply don’t hear the difference (assuming the same master)
If a 176 or 192 comes my way, I always analyze the content using MusicScope as often there are all kind weird artifacts in the upper range. Most of the time I downsample to 88/96 to get rid of them.
The final answer to your mantra!
Hires is technically superior to CD
Your gear might be a limiting factor
Your hearing certainly is.
As most people listen with their eyes, the moment they see a hi-res recording (24 / 96 kHz on the display) they will “hear” the benefits because believing is hearing.
The moment they have to do so in a unsighted test, they fail to hear the differences.
Recording quality is far more important than the resolution.
A shitty recording will sound as a shitty recording even in glorious 32 bit / 358 kHz (bigger is better isn’t it) and those rare good recordings will sound gorgeous in Redbook.
Redbook is simply a pretty clever compromise and therefore hard to beat.