Hi there !!
I had the same Problem in my NT 4 Domain with W2K Clients.

But i found a way to go arround:

On my NT4 CLients, i added a Registry Key, to tell the Gui to pause starting untill the login-script has finished. (Microsoft Documentation)

I also tried this Key on my W2K Clients and suddenly the logon-script doesn´t run minimized: It Runs as desiered

The Registry path is the following:

HKEY_LOCAL_MACHINE\SOFTWARE\Microsoft\Windows NT\CurrentVersion\Winlogon

KEY: RunLogonScriptSync
Value: dword:00000001

After i added this Value to all my W2K CLients, the Logon Windows runs Normal and NOT minimized.

Hope it works

BYE
KST