Override feed-based Case Detail page - lost Email Publisher; retain all other Quick Actions

• Classic
• Case Page Layouts includes a Feed-Based Layout; running user has this layout assigned
• Feed-based layout includes several Quick Actions in the Salesforce Classic Publisher : New Task, New Event, New Child Case, Email (the object-based Case.Email action), 'Custom1'
• Case Feed tracking enabled; Email Deliverability = All

• View button is overridden with this VF page:

  <apex:page id="CaseView" standardController="Case" showHeader="true" sideBar="false"><apex:detail inlineEdit="true" relatedList="true" subject="{!Case.Id}" showChatter="true"/></apex:page>

When the page is displayed, the Show/Hide feed button appears and all of the Quick Actions appear except the Email action. If I remove the View button override to the VF page, all the Quick Actions display, including the Email action.

Things I tried:

Added <support:caseFeed>tag - no effect; no caseFeed even appears on page

<apex:page id="CaseView" standardController="Case" showHeader="true" sideBar="false">      <apex:detail inlineEdit="true" relatedList="true" subject="{!Case.Id}" showChatter="false"><support:caseFeed id="myCaseFeed" caseId="{!Case.id}"/></apex:detail></apex:page>

Re-enabled showChatter="true" - result, case feed appears without email publisher

<apex:page id="CaseView" standardController="Case" showHeader="true" sideBar="false">      <apex:detail inlineEdit="true" relatedList="true" subject="{!Case.Id}" showChatter="true"><support:caseFeed id="myCaseFeed" caseId="{!Case.id}"/></apex:detail>

Added <apex:emailPublisher>Reference - still no email publisher

<apex:page id="CaseView" standardController="Case" showHeader="true" sideBar="false">      <apex:detail inlineEdit="true" relatedList="true" subject="{!Case.Id}" showChatter="true"><apex:emailPublisher id="myEmailPublisher"    entityId="{!case.id}"    width="600px"    title="Send an Email"    expandableHeader="false"    autoCollapseBody="false"    showAdditionalFields="false"    fromVisibility="selectable"    toVisibility="editable"    bccVisibility="hidden"    ccVisibility="hidden"    emailBody=""    subject=""    toAddresses=""    onSubmitFailure="alert('failed');"    fromAddresses="person1@mycompany.com,person2@mycompany.com"/></apex:detail></apex:page>

Why do I care to do this? (stave off the x-y problem question)

• For application reasons, I had to override the standard Case edit page with VF
• When you do this, you lose inline edit on the standard detail page
• So, I decided to override the View button with a trivial apex:detail page with inlineEdit="true"
• And I need the Email Publisher to appear - especially as the Detail page is used in Service Console and Macros won't run without the Email Publisher