No, it doesn't. Here's the 2019 court order which prohibited his deportation to El Salvador:
This 2019 order demonstrates Garcia's request for withholding is for Guatemala and not El Salvador. The order states Garcia is a "native and citizen of El Salvador," and his removability from the U.S. was clearly established. The conclusion states: The Respondent's application for asylum is...
www.documentcloud.org
The last page has the ruling, where he is denied asylum and denied protection under CAT, but granted a "withholding of removal". But here's the interesting part for our present purposes. On page 6, it says:
"Withholding of removal, in contrast to asylum, confers only the right not to be deported to
a particular country rather than the right to remain in the U.S. INS v. Aguirre-Aguirre, 526 U.S.
415 (1999)."
That's not my words, that's not ICE's words, that's the judge's words in the very order that granted Garcia a withholding of removal. The court
explicitly said that it was NOT granting Garcia the right to remain in the US by giving him a withholding of removal order. Garcia remains deportable to other countries under this order.