I tried to configure this option, since the topic was closed without me))
And it turned out that in our case this solution does not work, alas.
The option with an additional field, this one
https://prnt.sc/vw2gk9, has a hint that it will NOT work and that it needs to be disabled if the search for products goes by an external id, like ours.
We have no other options, because. Our names differ from the supplier's price list, and there are no manufacturer's articles in his price list at all, only the supplier's internal code. We have long since begun to slowly change all internal codes in the article number field to real manufacturer's articles, and leave the supplier's internal codes in the external id field, so that normal updating of prices and balances is possible only by external id.
So we are waiting for a solution from the box itself, I hope this question was not scored with its closure))