I've always viewed QPs like a raffle where I'm hoping the drawn numbers will match the numbers on the QPs and playing my own picks is trying to guess which numbers will be drawn. If I had a good idea of what the number distribution should be, I'd use the QP generator on this site and play the combination(s) that matched it.
In Ohio we win a buck by matching 2 numbers and can pick 5 numbers, get a QP or put the buck in our pocket. On the Florida website it says "When a ticket with 2-of-5 winning numbers is redeemed, the gaming terminal will automatically print a free Quick Pick ticket for the next available draw" so you have to cross your fingers and hope those numbers are drawn.
After playing for a few months or years we notice that not very many combinations with 4 numbers under 10 or with 4 numbers in the teens or twenties are drawn. So when we see a QP with that distribution, we think there is a lesser chance of those numbers being drawn.
Had you looked at the QP as free chance to match 2, 3, or 4 numbers and still had a chance to match all 5, it might not look so bad. Since 3 of the drawn numbers were single digits and your QP had 4, you had a better chance of matching 2 or 3 numbers than a ticket with only one single digit number that had no chance of matching 4 numbers.