Having more federal government employees doesn't mean better access to affordable healthcare for the elderly. Those things are almost totally disconnected. As for veterans, the VA has been improving access to healthcare by making it easier for them to obtain services from private provider organizations.
Likewise, primary school funding and standards are largely state and local government issues. Cuts to federal staffing don't really impact that, either.
I'm not supportive of DOGE activities but if we're going to criticize then let's at least accurately connect cause and effect.