Yes, any correctly built cable should have the same sound quality, regardless of brand.
I fully agree! But, I would expand "correctly built" to include (a) properly sized, (b) accurately wired, (c) competently built, using (d) sufficiently quality components.
Examples:
(a) The AWG of the wire is undersized for the distance and/or electric current*
(b) Pins 1 & 2 on an XLR balanced cable are reversed; or pin 3 is either connected or not connected (contrary to what is required by the end device)
(c) Bad solder joints or crimps; stray wires
(d) Cheap plastic that starts to break after limited use or doesn't provide proper support; connectors that don't seat properly
If you read into some of the reviews for the cheap "China-built" cables, they will often fail on 1, 2, 3, or even all 4 of those criteria. So the simple statement of "you won't hear any difference" is generally true; but I would be careful assuming all cables on Amazon are correctly built.
I mention this because I almost purchased a similar type cable (4-pin XLR to 2x TRS), until I read the comments such as:
https://www.amazon.com/gp/customer-reviews/R1HELT5CWZOYL3/ref=cm_cr_dp_d_rvw_ttl
* the old "Monster Cable" demonstration boxes at Big Box Stores that compared a long spool of AWG 18 against Monster Cable's AWG 12 (or something similar). Sound quality differences between those the two cables was quite noticeable, as physics says it should be.