I always used a "normal" AD account (with password) for my worker processes. I can't help you with JEA, but here are some things to check.
Just to verify... you have an ASPX page that is shelling out Powershell.exe on the web server and you are capturing stdout and stderr (or transcript file) and that's where you see that error, correct?
Look at your web.config for "identity impersonate=true". The request might be running as the client user.
Maybe add in a call to whoami to verify that Powershell is executing as the account that you have configured.
whoami.exe
$session = New-PSSession -ComputerName dcName -ConfigurationName DomainAdmins
Invoke-Command -Session $session -ScriptBlock {...}
Check the Security event log on the remote computer to see if there are any authentication errors.
There is also a Microsoft-Windows-WinRM/Operational event log under "Applications and Services logs". It may also show as "Windows Remote Managememt". See if there are any related events in there on the remote computer.
You have this tagged as a Windows Server Powershell question. I would recommend that you add the tags for Windows Server, Active Directory and IIS. That might help reaching out to forum users with JEA experience.