At first, I am not sure whether this is bug or desired behaviour (in that case this issue is Enhancement). There is a problem with binary deployment.

Current workflow is following:
PRESTEPS:
1. Create OpenShift application (e.g. EAP through OpenShift explorer, context menu, new application)
2. Open Project Explorer, select application and open context menu OpenShift - Configure Markers...
3. Select disable maven build marker. You can select also Hot deploy to improve deploying speed (no need to restart cartridge).
4. Open Navigator - .openshift - markers and select new markers and add them to Index (context menu - Team - Add to Index)
5. Push application to OpenShift (e.g. context menu of application - Team - Commit...)

BINARY DEPLOYMENT
1. Now imagine, you want to binary deploy. Let's say, user change something in index.html (for example title).
2. Then it's required to locally build application (context menu of application - Run as - Maven build and set goal "clean package -Popenshift"). Result - application is built in deployment folder as ROOT.war.
3. Add ROOT.war to git index (context menu - Team - Add to index)
4. Drag and drop application from Project Explorer to Servers view adapter onto the given OpenShift adapter.
5. Confirm push.

My idea of binary deployment is:
1. User change something in application
2. Drag and drop application from Project Explorer to Servers view onto OpenShift adapter - this step build application, add ROOT.war to index.
3. Confirm to push.