Sometimes.   

My experience is that often, but not always, the funding lender sells the loan immediately to the permanent mortgage owner, or at least to the account servicing agent that may handle the funds even though the mortgage changes hands every year or two.  So you may receive two 1098 forms, from different companies at different times.  And your clients may not even recognize the name of the first one, so they may through it in the trash along with their EIP#2 debit card.  

If it's a $100,000 loan at 3%, you know that a full month of interest is $250 (to start), so if the 1098 from the current lender shows something close to $750 for three months, you know it doesn't include the $200 interest paid for 20 days at closing.