The money spent is to encourage people who can to take up cycling to relieve the pressure on the roads and to increase peoples fitness. All very positive for a lot of people. Also it’s not just about giving bicycles to overweight people – it’s investment in helping to create a better cycle network through the UK.
All very separate from the running costs of the PIP and only a one off cost – not money that will be spent each year.
Being angry about the way the government has changed the benefits for disabled people is fair enough but does not mean that when they spend on something that does not benefit you that you should be angry about it.