That timing is separate from financing and the home inspection, both of which are usually still conditional when the deposit moves, so paying the deposit is not a signal that every condition has been satisfied, only that the offer itself has been accepted by both sides.
A buyer who misses the deposit deadline in the offer can give the seller grounds to treat the whole contract as breached, which is why a buyer's agent normally confirms the funds are ready to move before an offer is even submitted, not after it is accepted.
Joel Dyck confirms deposit logistics with every buyer before they write an offer, so nothing holds up the deal once it is accepted. Get your hand-reviewed valuation from Joel Dyck.