The problem is whilst we know the difference, most employers don’t.
I’m personally sick of seeing adverts that have this long list of requirements, says you have to be “proficient” in all of them, yet really they need two separate people.
All you can do is specialize in one area, and be knowledgeable of the other. Then apply anyway, and at your interview perhaps you can then explain it to them.
A lot of employers need a website, but don’t know what their staff need to know to make it. So they just copy the “requirements” off another job, without realising that they’re actually asking someone to be able to do two different jobs.
I think though, that those who literally just design, and don’t code the front end, will need to change their ways. Just designing the site on Photoshop is never going to be enough for so many employers. Why would they employ you over someone who can also code it? So you have to really be a proper front end developer to get anywhere these days, even then it’s difficult because they expect you to do backend stuff too.
Don’t be too worried about wages right now. If you’re young, like me, you just won’t get much these days full stop, what’s important is experience. I’m massively underpaid, probably by about £7000 a year, but I’m just concentrating on the experience that I’m gaining which will warrant the larger salary.