What an odd article.
If Osborne hates cyclists, he must hate drivers even more. For every cyclist suffering a minor soft tissue injury there will be dozens of drivers, mostly alleging whiplash. Very few minor injuries of the sort discussed go anywhere near the courts - they're processed through out-of-court processes, which are cheaper, quicker, less adversarial, and result in just the same amount of damages. There is no suggestion, as far as anyone knows (the details are extremely thin as yet) to amend the amount of compensation awardable.
Brokers might doubt that insurance premiums will go down as a result, but the evidence is against them. Last time a major change to compensation procedures was brought in (LASPO, two or three years ago), insurance premiums dived by 20%, even though the changes were only worth 5% at most. The CEO of the UK's largest insurer has already announced that he'll be cutting premiums by an average of £50 as a result of the latest changes - even though motor premiums are currently at an unsustainably low level and need to go up by about 25% for the market to make money.