Well of course it will. My grandmother used to vote Tory automatically mostly because he didn't pay attention to the news, she didn't have a valid passport or a valid driving license. So she wouldn't have been able to vote for them.
The fact that they introduced this policy and made her go through the trouble of getting some form of photo ID annoyed her so much that she got one, and then actually voted Labour in the last election.
So it is hurting them from two angles, they will lose votes from people who have no photo ID and that will disproportionately be the elderly who statistically are more likely to vote for them, and it will annoy people into voting for another party. Most younger people will probably have some form of photo ID anyway, if only it's a provisional driving license. Apparently even an expired driving license is acceptable so this law really does nothing.
I can absolutely see him as the kind of person who would naturally forget to do something like this, but conveniently "forgetting" your ID when your government introduced it is also a great way to get in the headlines again...