No. With DST, the clocks have their times change, but I still wake up when the clocks say 8am and start work at 9am every day. (example) With the hypothetical

No. With DST, the clocks have their times change, but I still wake up when the clocks say 8am and start work at 9am every day. (example) With the hypothetical I was describing, the clocks never have their times change, but I get up at 8am in the winter and 7am in the summer, while starting work at 9am every day. This means in the summer I have 1 extra hour to do stuff in the morning before work, and 1 less hour to do stuff in the evening after work (assuming I go to bed 1 hour earlier to have a consistent amount of sleep).