If employers|government really cared why don't they just say 'our office hours are 8am-4pm from October to March and 9-5 the rest of the year' or whatever?
Because the government or companies cannot simply dictate when people or companies should work, that is usually written down in employment contracts. It is much more convenient to centrally move one reference clock one hour ahead or back than renegotiating millions of contracts every six months.
Are people such sheep that as long as the number on the clock is the same as yesterday they'll blindly get up whenever you want but if you ask them to get up at a different time they'll revolt?
Most certainly yes. Changing the common time guarantees that we can go on living our lives as normal, and follow the same schedule. There are no synchronisation issues since everybody switches at the same time.
More than sheep, we people are sloths, we don't like doing useless stuff. If the office hours change, we will keep our private schedule identical and still meet with friends at 20. The point of DST is to make sure people use more daylight and save power, so it needs to influence the habits of people in their leisure time as well.