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"to be eligible to vote in United Kingdom parliamentary elections".
Obviously, the question is how the ONS would make that estimate. The answer is by using a combination of the register of electors, the census and other data forms.
As has already been pointed out and as we all know by now, there is a systematic bias against the registration of certain categories of people-ethnic communities, people in private rented accommodation, 17 to 24-year-olds and, generally, those in poorer areas. Those poorer areas tend to be more likely to be represented by Labour MPs. That explains the difference in the average figures for registration. The problem that I have with the current thrust towards quickly redrawing the boundaries on the basis of registered voters is that clearly there will be a bias in that, so people from poorer communities will be under-represented. That is not effective or fair democracy.