Frontside/piste boots are built exactly for what you're describing. They're the stiffest, most precise boots outside of race models, designed to maximize edge control and power transfer when carving groomed runs at speed. If you spend most of your time on piste and want that responsive, locked-in feel, they're a great match.
The trade-off is that this stiffness makes them less forgiving and less versatile. They're noticeably less comfortable than all-mountain boots and don't perform well in powder, moguls, or variable off-piste snow. You'll feel every bump and rut more, which can be fatiguing on anything but smooth groomers.
Choose frontside boots if you're an advanced or expert skier who prioritizes on-piste performance above all else. If you regularly venture off-piste or prefer a more relaxed ride, all-mountain boots give you better versatility without sacrificing too much carving power.