Thank you for your question.
Not physically living in the same household is not a pre-requisite to petition citing two years separation with consent. You can be "living apart" even though you are living under the same roof if you are living completely separate lives.
The small practical household chores do not negate your living separate lives. GIven that there is also the mental element that you both appear to regard the marriage as a mere shell and, presumably, are not going to live together post-divorce I doubt you will have any problem covincing a Judge of the veracity of your separation.
On the facts you will be able to divorce on the ground of two year separation with consent.
HMRC's website contains lots of useful information for lay persons acting on their own behalf:-
They also have all the forms you will need:-
Select "divorce" from the drop down menu.
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