Itchy Finger,
I think it depends entirely on how much experience and skill you have with your tools and techniques, and whether or not you have a patient mentor.
My first build was a full stock VA rifle in .45. Straight grain walnut. Everything went fine. Very enjoyable. Far from perfect, but very enjoyable. No mentor, but had the Hershel House rifle building video, which I watched about 25 times throughout the build. Had a lot of fun.
My second was a .32 half stock TN mountain rifle (actually, more like 3/4 stock). Still had no mentor. Crotch figure walnut. Very chippy. Used a cut-down Green mountain barrel, so as to get the length I wanted. Had no experience with muzzle treatment, so that was a learning curve. I made the rib from scratch from cold-rolled stuff from Lowes. Shaped it with a bench grinder and files. Screwed it to the bottom of the barrel. Didn't have a proper drill press (just a hand drill on a cheap Sears brand stand). Didn't have prior experience with tapping blind holes. Poured a pewter cap. Had a bear of a time with that, with voids, and no idea at the time on how to deal with them. Cut the whole thing out once and did it over. I was in over my head the whole time. Did not have fun and swore I'd never build another half stock.
Being true to my promise, I haven't built another one. But now, years later and having a lot more experience under my belt, I think I could build another now without being stressed. But that first half-stock (or 3/4) was too big a step for me at the time.
I think it's a good idea for a first build to be fun. Simple enough that you have a high chance of success and a positive experience.
Just commenting about my own experience. I'm sure others on here have different experiences.