Don't declare ABMInput in globals, just where you create it.
Then use .Component() when you use it (like you want to get the .Text). The reason for that is because .Component() does more than just 'getting' the components java object, it also syncs the java object with the html object in the browser.
So in short:
in connectPage() or wherever you add it to the page:
B4X:
...
Dim inpText As ABMInput
inpText.Initialize(page,"inpText",ABM.INPUT_TEXT,"Text",False,"")
page.Cell(7,2).AddComponent(inpText)
...
In e.g. a button click (or where you want to get the current text back):
B4X:
...
Dim inpText As ABMInput = page.Component("inpText") ' syncs the ABMInput object with the browsers value
log(inpText.Text)
...