Unfortunately, the site you are looking at quotes P/No: LR2032 (an Alkaline cell), whereas the description and the actual picture of the item shows P/No: LIR2032 - which is the rechargeable Lithium type cell.
Granted I can see how you are confused, as either the site title part number is incorrect, or they have taken a photo of the incorrect item. Either way, there is a discrepancy.
No matter: a cell part number starting with 'LR' is an alkaline cell, as you have correctly identified from the Maxell site you stated above.
Cheers