Attached test case that shows the issue.

Steps:

• Load welcomeICEfaces.jsf
• In the menu drop down, select a value. The value is shown in the h:outputText component but the dateTimeEntry is not updated. A browser refresh shows the selected value.

r49421: added code in 'stateUpdate' script to update the current selected date and time in the calendar for cases when it's updated programmatically by another component

r49423: committed fix to the 3.3 EE maintenance branch

Tested with ICEfaces ee-3.3.0 maintenance branch r49427.
The issue at hand is resolved however there is a console error now seen on all ace:dateTimeEntry test applications on the ee-3.3.0 maintenance branch. This was not an issue prior to this latest commit.
Showcase ace:dateTimeEntry demos

Uncaught ReferenceError: widget_form_cal is not defined(…)

Tested with ICEfaces 4 trunk r49427.
The issue at hand is resolved however there is a console error now seen in certain dateTimeEntry applications. These same console errors can not be reproduced when testing with Jenkins build 2157 prior to this commit.
Tested with showcase projectStage=production in the web.xml
showcase ace:dateTimeEntry > Time Entry
Console error seen when toggling radioButtons in demo.
showcase ace:dateTimeEntry > Label Position
Console error seen when changing label positions in demo.
showcase ace:dateTimeEntry > Required Styling
Console error seen when changing styling options in demo.
Also found in QA dateTimeEntry test apps that use submit/add/remove features.
Example:
/addTopRow.jsf
/dateTimeEntryClientValidatePattern.jsf

Console error seen:

TypeError: b is null
http://localhost:8080/showcase/javax.faces.resource/coalesced.js.jsf?ln=ice.core&dgst=tvgmt3
Line 13947

r49460: modified the use of widgetvar to be referenced from the window object, in order to avoid errors when the component hasn't been initialized, due to its lazy init functionality, and the windgetvar hasn't been declared yet (3.3 branch)

Tested with ICEfaces ee-3.3.0 maintenance branch r49461. Tomcat 7/8
The Uncaught ReferenceError: widget_form_cal is not defined(…) appears to be resolved.
In some demos a console error is seen:

TypeError: newDate is null
http://localhost:8080/showcase/javax.faces.resource/coalesced.js.jsf?ln=ice.core&dgst=zg6ihb
Line 248

The error can be seen in the showcase ace:dateTimeEntry > Time Entry demo when toggling the radioButton to "Time Only" and each time the submit button is pressed. The error can also be seen in the Required Styling demo and QA test apps when using the submit button.
These console errors are not seen in ee-3 maintenance branch continuous Jenkins build 781.

Also the console error found in ICEfaces 4 showcase as mentioned above are still seen.

TypeError: b is null
http://localhost:8080/showcase/javax.faces.resource/coalesced.js.jsf?ln=ice.core&dgst=tvgmt3
Line 13947

r49549, r49550: added separate setTime() function in the client side to use for updating the component when working in timeOnly mode (4.2 trunk and 3.3 ee branch)

Tested with ICEfaces 4 trunk, ee-3.3.0 maintenance branch r49551, Tomcat 8, Chrome 53, IE 11.
The time only mode issue appears resolved.
The js console errors are still occurring when a invalid or empty value is used in any dateTimeEntry demo that does not have an ajax submit.
To reproduce:
Using showcase navigate to ace:dateTimeEntry > Indicator Text or Required Styling.
Remove the date and leave blank or type invalid characters such as "test", then press the submit button.
The console error will be shown

Uncaught TypeError: Cannot read property 'getDate' of null(…) 
coalesced.js.jsf?ln=ice.core&dgst=bujbkd:13947 

Re-opened for console jS errors issue.

r49592, r49593: added check to see if the component is valid before sending the dynamic script to update the date (or time) in the client (4.2 trunk and 3.3 EE maintenance branch)

Tested with ICEfaces 4 trunk and ee-3.3.0 maintenance branch r49593, FF 47, Chrome 53, IE 11.
The js console error can still be reproduced in certain scenarios.

Uncaught TypeError: Cannot read property 'getDate' of null(…) 
coalesced.js.jsf?ln=ice.core&dgst=bujbkd:13947 

Scenarios where the console error can be reproduced:
1.) Use showcase ace:dateTimeEntry >Required Styling demo and open the browser console.
Remove the date in the Selected Date 2 field and press Submit. The console error will be shown.

2.) Use showcase ace:dateTimeEntry >Popup demo and open the browser console.
Remove the date from the field and press Submit. The console error will be shown.

3.) Use showcase ace:dateTimeEntry >Ajax Submit demo and open the browser console.
Remove the date from the field and press Enter. The console error will be shown.

4.) Use showcase ace:dateTimeEntry >label Position demo and open the browser console.
Remove the date from the field and press Submit. The console error will be shown.

r49598, r49599: added another check to see if value is blank (4.2 trunk and 3.3 EE maintenance branch)

Verified ICEfaces 4 trunk and ee-3.3.0 maintenance branch r49599, FF 47, Chrome 53, MS edge IE 11, 10, 9, 8, 7.
JS console error is no longer seen.