Have used lots n lots of both
The first round I ever loaded (6/4/'84) was a 158 LRN in 38 Special, using a modest 3.8 grains of Bullseye. I used Bullseye for my 38 Spl and 45 ACP target rounds (and above target level for 45) for some time thereafter. I tried W231 for 45 ACP in late 1985. Over time, I found myself using the 231 over the Bullseye (for both chamberings) more and more, until I stopped buying Bullseye entirely.
The great component shortage of 2013 caught me flat-footed (never again - but that's another post) and scrambling for propellant. I considered myself lucky when I procured two #'s of B'eye. Then two more #'s shortly after. I was flush with the stuff. Resurrecting its use made me remember how good it is. At target-level pressures, it's really hard to beat its consistent burn. It's great stuff. It does leave behind a lot of super-fine residue (resembling graphite lube) - at any pressure - it's not just an underloading thing. Being "residuey" is its worst trait. But it's nothing more than a minor nuisance out at the range, since I clean my guns afterward.
I was wondering aside from (Bullseye) being a relatively fast powder, what would I likely notice as a difference from my trusty Win231?
Bullseye is a touch faster than W231. But I certainly consider them in the same burn rate range. Bullseye is a little more energetic and so it seems to run a bit hotter; but for the same reason, it's also a bit more economical (more energy per grain - not that I select propellants based on economics). The wheelhouse for both these propellants have a lot of overlap. Differences are subtle.
I have run into problems when trying to turn loads way down into the super light pooper popper range. W231 rears its head of
relative slowness sooner by running grainy and sooty first. As you turn 'em down, Bullseye hangs in there with good combustions a little longer (as measured in terms of both bullet velocity and charge weight). That said, when loading in their wheelhouse - where they're designed to run - W231 is clearly a much cleaner burning propellant. And that is their single biggest difference in most load applications.
In terms of handloading, I'd give the metering nod to W231 - it seems to meter a little more consistently. But I don't consider the metering characteristics of either one to be an issue in any way. To me, the difference is nothing more than noteworthy.
W231 has a slightly better fill rate too. I don't know the density difference. It could just be that slightly more W231 (by weight) is needed to achieve the same velocity for a given application; so it fills the case more. Again, not a factor in propellant selection for me. So I don't give it much thought. Just an observation.
After the shortage of 2013 subsided (which didn't do so until well into 2015 here in California), I stocked up on W231. I have about 10 #'s of it. I also phased out Bullseye by loading it all up n shooting it - the ammo brought with it a lot of shooting pleasure - like I said, it's good stuff. But yeah, I'm back to having just W231 in my inventory. However, should the need arise (not likely), I wouldn't hesitate using Bullseye again. I'll always have a soft spot in my heart for it.