For the front suspension, I left the hub carrier attached to the lower control arms. Instead, I loosened the control arm bushing bolt/nuts on the inner end. That allows the hub carrier to drop low enough for top of the strut to clear the fender.
Then, after the strut or coilover is re-installed, the suspension is lowered back down to static ride height. That's when the lower control bushing bolts are re-tightened. Doing it this way allows the control arm bushings to be re-clocked relative to the new (lowered) ride height, such that they are neutral at the new static ride height.
If you're only lowering the ride height a small amount, you might get away with not re-clocking the control arm bushings. The greater the lowering amount, the more those bushings will be torqued when sitting static, the more likely the elastomer will be twisted beyond their rated range, the sooner they will wear out and fail.
For my own cars, I'd rather not taking any chances, regardless of the lowering amount. Practically speaking, I find loosening the bushing bolts less PITN than busting out the spindles anyway. So it's a win-win, in my book.