Thanks to a LOT of digging into older posts we were able to get Chrome to see our user as logged in between different VDI sessions. It ended up being that we had to add a Windows Common Setting for "Personal Certificates". Thank you for the point in the right direction from https://communities.vmware.com/t5/Dynamic-Environment-Manager/Manage-Google-Chrome-with-UEM-alternat...

Honestly the only reason we were after Google Chrome to work is to get Google Drive for Desktop working (which logs in via the browser). So at this point we have Chrome working and retaining the user login which in turn allows Google Drive to launch and map up their "G" drive. Once I get our Chrome DEM config cleaned up I'll post the ini that we settled on.

[IncludeRegistryTrees]
HKCU\Software\Google

[IncludeFiles]
<LocalAppData>\Google\Chrome\User Data\First Run
<LocalAppData>\Google\Chrome\User Data\Local State

[IncludeFolderTrees]
<LocalAppData>\Google\Chrome\User Data\Default
<LocalAppData>\Google\Chrome\User Data\Profile 1
# Adding in Google Drive for Desktop
<LocalAppData>\Google\DriveFS

[ExcludeFolderTrees]
<LocalAppData>\Google\Chrome\User Data\Default\Cache
<LocalAppData>\Google\Chrome\User Data\Default\Code Cache
<LocalAppData>\Google\Chrome\User Data\Default\GPUCache
<LocalAppData>\Google\Chrome\User Data\Default\IndexedDB
<LocalAppData>\Google\Chrome\User Data\Default\Service Worker\CacheStorage
<LocalAppData>\Google\Chrome\User Data\Default\Service Worker\ScriptCache

<LocalAppData>\Google\Chrome\User Data\Profile 1\Cache
<LocalAppData>\Google\Chrome\User Data\Profile 1\Code Cache
<LocalAppData>\Google\Chrome\User Data\Profile 1\GPUCache
<LocalAppData>\Google\Chrome\User Data\Profile 1\IndexedDB
<LocalAppData>\Google\Chrome\User Data\Profile 1\Service Worker\CacheStorage
<LocalAppData>\Google\Chrome\User Data\Profile 1\Service Worker\ScriptCache

# Exclude crash/log folders from Google Drive
<LocalAppData>\Google\DriveFS\Crashpad
<LocalAppData>\Google\DriveFS\Logs

[ExcludeFiles]
# Found posts about excluding the Network Action files and at this point
# things are working without them so why not keep things a little slimmer
<LocalAppData>\Google\Chrome\User Data\Default\Network Action Predictor
<LocalAppData>\Google\Chrome\User Data\Default\Network Action Predictor-journal

<LocalAppData>\Google\Chrome\User Data\Profile 1\Network Action Predictor
<LocalAppData>\Google\Chrome\User Data\Profile 1\Network Action Predictor-journal

*.tmp