No, the card should have the spring-loading you talk about - not too much different than a click pen's spring loaded catch system. The issue is likely that you are not pressing it in far enough. You may need to use your fingernail to get it in far enough that the catch clicks into place. This is quite normal. The card cannot be inserted too far, and should not stick out either.
If it is sticking out and you can simply grab it and pull it all the way out, then you've not inserted it far enough. You should only be able to remove the card by first pressing it in again and hearing the click, then releasing and the spring will eject the card out far enough to grab hold of, or if not careful will launch the card across the table.