Changing amount of item in Table loses horizontal scrolling position

Originally by Tapio Aali

If a Table has been scrolled horizontally and the amount of items displayed in it changes, the scroll position is lost.

Example:

VerticalLayout layout = new VerticalLayout();
setContent(layout);

final Table table = new Table();
table.setWidth("640px");
table.setHeight("243px");
layout.addComponent(table);

for (int i = 0; i < 50; i++) {
    table.addContainerProperty("Column " + i, String.class, null);
}

for (int i = 0; i < 200; i++) {
    table.addItem();
}

Button reduceItems = new Button("Reduce items",
        new Button.ClickListener() {

            @Override
            public void buttonClick(ClickEvent event) {
                table.removeAllItems();
                for (int i = 0; i < 5; i++) {
                    table.addItem();
                }
            }
        });
layout.addComponent(reduceItems);

Just scroll right and then click "reduce items". The horizontal scrolling position resets.

Imported from https://dev.vaadin.com/ issue #12652

The issue names the Table entry point but no source file or test. Reproduce the example by scrolling right and changing the item count, then trace the Table behavior responsible for preserving horizontal position; done means the position remains unchanged after items are removed and the regression is covered by a test.