I have the impression that when you deposit some money on a poker site it seems that you tend to play more loosely. Because if you lose your balance you simply make another deposit and another again.
That completely depends on, what your goals with poker are. If you are playing for fun, then sure you will probably lose your money and have to deposit again. But this is not a problem. You also have to pay, every time you go out and eat in a restaurant or any other recreational activitity. So the only thing, that matter, is to make a budget for poker, restaurant visits and everything else.
But you can also decide, that you think, you are a winning player, and then manage your deposit as a poker bankroll. Which mean, that if you deposited $100, then you play 2NL cash games, $0,55-1,1 MTT or $1-2 SnG and nothing higher than this, until you have grown your bankroll. I have done this, and so have many other winning players, and we certainly did not "play more losely", because we played with our own money in the beginning.
But when you win money by playing a freeroll, you value it much more even if it's pennies and you're much more successful with them whether you're playing spin & go or tournaments.
Why do you value money more, because you won them in a freeroll? This makes no sense. And if you want to build up a poker bankroll, you dont want to be stuck in penny games and freerolls and spend a whole year getting to just the first $100. You want to move even just a bit up the ladder as fast as possible to say 10NL cash games, $2.2-$3.3 MTTs or $5 SnGs. This is where, the game starts go even just a little more serious, and you can win some money, that are not completely insignificant.