Does lateral brow lift typically carry less risk of nerve injury since it is less invasive?

A lateral brow lift does have less risk of nerve injury, but also accomplishes much less lift because it is minimally invasive. It Cannot address forehead lines. A traditional coronal forehead lift can address lifting the entire forehead, making the eyebrows more symmetrical, softening the corrugator and frontalis muscles creating the vertical and horizontal lines in the fore head, and adjusting the hairline upwards or downwards.

Lateral simply means to decide. I don’t know what nerves you are referring to, or the approach of the procedure.
Brow lift are generally done with an incision through the hair baring scalp, at the hairline or endoscopically.
Open incision brow lifts will leave some loss of sensation posterior to the incision.
Typical brow lift have a low incidence of facial nerve injury unless a mid facelift is incorporated.
Best,
Mats Hagstrom, MD