I’ll try and find the Cambridge stats, but what you do see is that the percentages of applicants to conditional offers made are roughly proportional in respective colleges. So, for instance, somewhere like Homerton or Kings, where around 85% of applicants are from the state sector (albeit a large proportion from selective schools in the state sector), then around 85% of offers made go to state applicants. In other cases, where colleges receive lower numbers of state applicants, such as St John’s where it’s closer to 65% (don’t quote me, but it’s thereabouts), conditional offers are in line with this. If anything, colleges with lower numbers of state applicants look like they are trying push the other way and the reverse may be happening in colleges with high numbers if state applicants.
If DC have had disrupted education due to poor lockdown provision, of course it makes sense to just state the facts of this. I don’t think the colleges would expect any less and, as pp say, there will probably be some process by which they specifically request this information anyway.