re bell batting
from the icc playing conditions;
the player shall not be permitted to bat unless or until, in the aggregate, he has returned to the field and/or his side’s innings has been in progress for at least that length of playing time for which he has been absent or, if earlier, when his side has lost five wickets. The restriction in clauses 2.2.1 and 2.2.2 above shall not apply if the player has suffered an external blow (as opposed to an internal injury such as a pulled muscle) whilst participating earlier in the
match and consequently been forced to leave the field. Nor shall it apply if the player has been absent for very exceptional and wholly acceptable reasons (other than injury or illness).
So it does sound like it carries over - but because it was a blow to Bell's thumb & therefore an external injury it doesn't count as being timed out by the sounds of it.