This is the same advice we gave to drivers back in the day when I studded car tires.

The purpose was to warn off folks from cowboy stuff--spinning the tires, hard cornering, or skidding to a stop--until after the rubber lubricant used when inserting the studs wore away and the studs firmly seated themselves.

Same applies to you. No cowboy stuff for a few miles and you'll be A-OK. Using the tires for their intended purpose does not constitute cowboy stuff. The warning is really to protect the company from idjits.