I don't think Starmer abandoned ID cards altogether - he changed from wanting them to be compulsory (so, presumably, free) to voluntary (presumably at a cost to the holders). In other words, he didn't abolish it, he changed the premise of it.
So if Burnham is scrapping the voluntary scheme (as opposed to the compulsory one), he is still abolishing something, but not the original ID card scheme.
I'm not too bothered one way or the other. Like 62Granny, I renewed my passport recently, but just for ID purposes. Health and health insurance costs mean I am unlikely to use it for travel, but these days we need ID, whether we like it or not - bank accounts and all sorts of financial transactions require it, as do applying for things such as bus passes. As I've said before, though, I have reservations about a single database that would allow a future malevolent government to create lists of people in different categories (eg religion, race, sexual orientation etc). Not because I am concerned now, but because we don't know what's round the corner politically.