I went the reverse route learning CorelDRAW first and then Illustrator. I bought my first personal copy of Photoshop (v2.5) bundled with Illustrator 4. There were things I wanted to do with paths in Photoshop, like importing Corel-generated vectors. CorelDRAW has never been able to directly supply Photoshop with paths. Illustrator 4 on the PC just plain sucked. While Adobe was giving the Mac versions 5, 5.5 and 6 of Illustrator I started using Freehand on the PC and kept using it until v10. I did buy Illustrator 7 (and PageMaker) when they were offered for dirt cheap prices since I was a Photoshop user. But I didn't get back to upgrading Illustrator on any sort of steady basis until Creative Suite 2.
I'll get customer provided art files in CorelDRAW .CDR format from time to time. It doesn't happen very often, unlike all the stupid, dopey JPEG files. With the kinds of resources that are available today there aren't many good excuses for someone to not design their logo (or their idea of a logo) in some kind of vector format. It's even do-able within Photoshop if the person doing the design work really knows how to use Photoshop.
I don't get as many customer supplied EPS files as I did years ago. PDF and AI seem more common. I still run into plenty of issues with those customer provided files. The funniest one (if you're in a good mood at the time) is when the customer saved a pixel-based image inside an Illustrator or PDF document, thinking either one would somehow magically convert that pixel-based artwork into clean vector based art. That mistake usually comes after telling the customer his fuzzy JPEG file won't work as source art for a certain kind of sign and that we need vector art instead otherwise he'll pay a design fee for conversion.