I'm going to say it comes down to the neck. The 2nd generation USA fury basses (the ones with a P pickup) have a very skinny Jazz type neck. I used to jam on one at church and I liked everything about the bass except for the thin neck.
If you like that skinny neck, keep an eye out also for the very first generation "Forum" basses. They were not like later Peavey Forums, rather they were simply a 2nd generation Fury with an added J-pup in the bridge position. The Peavey "Foundation S" is another USA made P/J with a similar Jazz neck. Stylewise, it has alot in common with a Fender P-Lyte, having no pick guard.
The First generation Fury basses have a nice big P-bass neck, but they do sound just a bit different having a single super-ferrite pickup in a slightly different place than the P-bass. They also tend to neck dive.
I don't know about the Tagima (looks good, but I've never played one), but if you want an affordable P-bass, with a P-neck, I'd say look for an ESP LTD Vintage 214 or Vintage 204. It's a fantastic p/j P-bass clone for about 2 bills. Very comfortable P-style neck, but not a baseball bat. Had one previously and loved it.