It doesn't sound as if such a risk exists. The OP has said that the meter readings appear to be correct, and it's those figures that will be the basis of billing. As has been said, it seems as if all that is wrong is the 'remote display', which merely exists as an alleged 'convenience/value' fir the consumer - but it has no influence on billing.Think again buddy! .... They can and they will unless you contact them and tell them something went wrong.
Having said all that, it makes sense to at least talk to the supplier about it - not the least so that the faulty 'free remote display' can be rectified.
Kind Regards, John