I've replicated this issue on my Moto X with the following minimal program.
// Project: Editbox
// Created: 2016-02-23
// set window properties
SetWindowTitle( "Editbox" )
SetWindowSize( 1024, 768, 0 )
// set display properties
SetOrientationAllowed( 1, 1, 1, 1 )
#constant QuestionEditBoxIdx 1
CreateEditBox(QuestionEditBoxIdx)
SetEditBoxSize( QuestionEditBoxIdx, 50, 10 )
SetEditBoxPosition( QuestionEditBoxIdx, 50 - GetEditBoxWidth(1)/2, 75 )
do
Print( ScreenFPS() )
Sync()
loop
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Update
I installed the SwiftKey keyboard and tested with that. It works fine with that after market keyboard, so this appears to be only the Google stock keyboard; not sure if it is related to Lollipop or this particular device?