Let me try to explain it another way. For this example, ignore implicit interest, since the receipt of interest is treated the same either way.
Sales Type Lease:
You’re an appliance store. You have a $25,000 restaurant stove that cost you $20,000 to purchase. Before the lease transaction, your inventory account is $20k. You lease the stove under a sales type lease, and the discounted PV of the lease payments is $25k.
At the inception of the lease, you recognize revenue of $25k, COGS of $20k and GP of $5k. You book a capitalized lease obligation receivable of $25k, and as future payments are made, you allocate those payments to the receivable and to interest income.
Direct Financing Lease:
You’re a leasing company, you don’t own the stove, but a restaurant client wants you to help with the leasing arrangement. Before the lease, you have nothing on your books except cash.
At inception, you take title to the stove and record the stove on your balance sheet at $25k. Cash is reduced by $25k as that was your outlay. Simultaneously, your restaurant client signs the paperwork with you and takes physical possession of the stove. You still have the title.
You then move the $25k stove asset from one balance sheet account to another – stove inventory to capitalized lease obligation receivable. At this point, nothing has hit your income statement. Again, as payments come in, you allocate those payments to the receivable and to interest according to the amortization schedule.