Universal Credit is turning into an entirely predictable human disaster, as this Guardian story confirms. I have spoken to people who I have feared become suicidal because of it. Tweaking the waiting time won't change that. There are multiple reasons for that, but I just wanted to focus on one aspect, which is the assumption that libraries can tackle the problem that a number of people can't get Internet access.
In fact, using public library access is problematic. There is a problem with keeping a record of the data on a public computer. If it is on a memory stick, the information may not be easily accessible when the individual might want to raise a query (say on the phone with an official) There may be an issue asking advice on a phone in a public place which may have a quiet policy. There is the issue that library computers are not generally set up to remain confidential, so it is likely that passers by can overlook what people are doing (which may embarrass them), and there is the likelihood there that there is a time limit on usage ( as with Brent Libraries). All these factors make public library computers less than ideal.