Thanks for the bug report. I installed the attached patch, which I hope fixes things for you, and am boldly closing the bug report.

This fix depends on the latest lib/userspec.c from Gnulib; see <https://lists.gnu.org/r/bug-gnulib/2022-02/msg00000.html>.
From 1204c5132d61efbb966fb2a94b4dc7463beddfe1 Mon Sep 17 00:00:00 2001
From: Paul Eggert <egg...@cs.ucla.edu>
Date: Fri, 4 Feb 2022 14:43:31 -0800
Subject: [PATCH] id: print groups of listed name

Problem reported by Vladimir D. Seleznev (Bug#53631).
* src/id.c (main): Do not canonicalize user name before
deciding what groups the user belongs to.
---
 NEWS     |  3 +++
 src/id.c | 30 ++++++++++++++----------------
 2 files changed, 17 insertions(+), 16 deletions(-)

diff --git a/NEWS b/NEWS
index a4ba0fce6..fcf31fe39 100644
--- a/NEWS
+++ b/NEWS
@@ -21,6 +21,9 @@ GNU coreutils NEWS                                    -*- outline -*-
   and B is in some other file system.
   [bug introduced in coreutils-9.0]
 
+  'id xyz' now uses the name 'xyz' to determine groups, instead of xyz's uid.
+  [bug introduced in coreutils-8.22]
+
   On macOS, 'mv A B' no longer fails with "Operation not supported"
   when A and B are in the same tmpfs file system.
   [bug introduced in coreutils-9.0]
diff --git a/src/id.c b/src/id.c
index 2d969cc1e..f7625b6fb 100644
--- a/src/id.c
+++ b/src/id.c
@@ -127,7 +127,6 @@ main (int argc, char **argv)
   int optc;
   int selinux_enabled = (is_selinux_enabled () > 0);
   bool smack_enabled = is_smack_enabled ();
-  char *pw_name = NULL;
 
   initialize_main (&argc, &argv);
   set_program_name (argv[0]);
@@ -235,6 +234,7 @@ main (int argc, char **argv)
       /* For each username/userid to get its pw_name field */
       for (; optind < n_ids; optind++)
         {
+          char *pw_name = NULL;
           struct passwd *pwd = NULL;
           char const *spec = argv[optind];
           /* Disallow an empty spec here as parse_user_spec() doesn't
@@ -242,24 +242,22 @@ main (int argc, char **argv)
              specify a noop or "reset special bits" depending on the system.  */
           if (*spec)
             {
-              if (parse_user_spec (spec, &euid, NULL, NULL, NULL) == NULL)
-                {
-                  /* parse_user_spec will only extract a numeric spec,
-                     so we lookup that here to verify and also retrieve
-                     the PW_NAME used subsequently in group lookup.  */
-                  pwd = getpwuid (euid);
-                }
+              if (parse_user_spec (spec, &euid, NULL, &pw_name, NULL) == NULL)
+                pwd = pw_name ? getpwnam (pw_name) : getpwuid (euid);
             }
           if (pwd == NULL)
             {
-              error (0, errno, _("%s: no such user"), quote (argv[optind]));
+              error (0, errno, _("%s: no such user"), quote (spec));
               ok &= false;
-              continue;
             }
-          pw_name = xstrdup (pwd->pw_name);
-          ruid = euid = pwd->pw_uid;
-          rgid = egid = pwd->pw_gid;
-          print_stuff (pw_name);
+          else
+            {
+              if (!pw_name)
+                pw_name = xstrdup (pwd->pw_name);
+              ruid = euid = pwd->pw_uid;
+              rgid = egid = pwd->pw_gid;
+              print_stuff (pw_name);
+            }
           free (pw_name);
         }
     }
@@ -301,7 +299,7 @@ main (int argc, char **argv)
           if (rgid == NO_GID && errno)
             die (EXIT_FAILURE, errno, _("cannot get real GID"));
         }
-        print_stuff (pw_name);
+        print_stuff (NULL);
     }
 
   return ok ? EXIT_SUCCESS : EXIT_FAILURE;
@@ -434,7 +432,7 @@ print_stuff (char const *pw_name)
   if (just_user)
       print_user (use_real ? ruid : euid);
 
-  /* print_group and print_group_lists functions return true on successful
+  /* print_group and print_group_list return true on successful
      execution but false if something goes wrong. We then AND this value with
      the current value of 'ok' because we want to know if one of the previous
      users faced a problem in these functions. This value of 'ok' is later used
-- 
2.34.1

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