Listing a page's web part zones

I have been trying to figure out a way to list all of a page's web part zones. There is not much documentation out there on this. Here's what I have been able to figure out. It is for a publishing web, but the procedure should be pretty much the same.

$myweburl
$mylayouttitle
$web = Get-SPWeb $myweburl
$pWeb = [Microsoft.SharePoint.Publishing.PublishingWeb]::GetPublishingWeb($web)
$layout = $pWeb.GetAvailablePageLayouts() | Where-Object {$_.Title -eq $mylayouttitle}
$layout.ListItem.Properties['vti_cachedzones']


And to list the webparts on a page:
$pageurl
$wpm = $web.GetLimitedWebPartManager($pageurl, 'Shared'
$wpm.WebParts | Format-Table -AutoSize WebBrowsableObject, ZoneId, ZoneIndex


There's also a post Determine which webpartzones are on a webpartpage that uses reflection to get at a private member however I have not gotten it to work.