It's a known bug of TabHost.
In Explorer.bas of my File Explorer class, I added this comment:
'If your activity contains a TabHost, add these lines before the call to Explorer:
' Dim r As Reflector
' r.Target = TabHost1
' r.RunMethod2("setDescendantFocusability", 0x00060000, "java.lang.int") 'FOCUS_BLOCK_DESCENDANTS
'And these lines after:
' r.RunMethod2("setDescendantFocusability", 0x00040000, "java.lang.int") 'FOCUS_AFTER_DESCENDANTS
' TabHost1.RequestFocus
'That will prevent the TabHost from stealing the focus (a known bug, still not fixed in Android 4.0.3).
Hope that helps.