Transporters work by de-assembling something (e.g. you) and re-assembling it somewhere else. What if, when you’re dis-assembled, you die, and the re-assembled version of you is essentially a copy? Then every time someone steps onto a transporter, their final thought before death is that they’ll end up beamed somewhere else. And the re-assembled version (copy) just thinks that everything went fine and continues on like nothing bad happened.
It makes no difference in the sense that a version of you would still exist, but for the version of you that ceases to exist, I’d think it would matter to them. The movie The Prestige from 2006 somewhat illustrates my point on this.