Lender Pre-Approval Question

[Griffin Myers]

I was recently pre-approved for a mortgage - after listening to Ep. 252, the guest mentioned that once you have one lender pull your credit report, you can talk to other lenders who are then able to see the same report (i.e. they don't have to pull it themselves which would lower your score each time it's pulled). Is this true? How important is it to shop around for lenders?