Is the lead time the same on custom product reorders?
Yes. The lead time will be exactly the same for custom reorders (usually 75-90 days). That being said, it may feel quicker because lead time is measured from the time the final artwork is submitted to the factory for printing to the time it arrives at your shipping address. You will not have to go through the design and proofing process again.
Also, you will not have to pay plate fees again, if ordered within 2 years, so the overall cost of the items should be less than the first order.