For lunar photography, start by improving capture quality before relying on heavy post-processing. The blur in your example suggests focus/tracking/mount setup may need work; the Moon is bright enough that you can often use low ISO and fairly short shutter speeds, so you should be able to get sharper single frames.

Stacking can help, but it’s more important once your source frames are already sharp. Shoot many frames of the Moon—around 24 is a reasonable starting point, and shooting hundreds is common. More frames generally help.

Use both approaches depending on your goal:

• Same settings: good for straightforward noise reduction/detail improvement when stacking.
• Bracketed exposures: useful because the Moon has strong contrast. Take underexposed, normal, and overexposed frames so you can preserve bright crater rims/ejecta and also show darker shadowed regions, similar to grayscale HDR.

For noise control, stacking itself is one of the main ways to reduce noise. You can also capture occasional dark frames (same settings, lens/telescope capped) to help with sensor noise.

In short: first get the sharpest possible exposure with good tracking/focus and low ISO, then stack multiple sharp frames, and consider exposure bracketing if you want to balance highlight and shadow detail.