I’ve been tearing my hair out on this – and I’m sure by now you’ve found a solution or a workaround, but this is what worked for me.
The situation seems to be that $value returns an array rather than a value, so you need to return the first element in that array, like this:
<?php
$field = get_field_object('tabs_used');
$value = get_field('tabs_used');
$label = $field['Experience'][ $value[0] ];// adding the [0] to your code
?>
<h2><?php echo $label; ?></h2>
Hope that works for you!
