That one-deposit mindset is like that of someone who wants to recoup his previous losses; he's not satisfied with the outcome and thinks that, after a series of losses, winning will eventually follow.
I experienced this many times, and I stopped doing this because if you're unlucky, you have to call it a day and accept the result. There will be bad days, and there will be good days; you have to accept this reality in gambling.
Truth be told, you are completely correct. If the gambler isn't on a chase for his losses, there won't be any need for one last deposit, only those desperate to recall their deposits or recover with additional profits will do such a thing.
Some gamblers will prefer to learn the hard way than avoid the temptation, I can't deposit twice in a day, after my first funding, that is the end for the day, until next time I choose to use the casino.