I've used both of those systems, and don't think there is much difference between them. Between the two, I'd probably go Schaefer because the support in the US is better, and I like the bearing system better. I wouldn't fret the halyard wrap aspect - as long as each is installed correctly, and the sail fits the furler, this won't be an issue.
To add a bit of thread drift in the direction of Barquito's question, we recently got a new furler and below is our reasoning for our choice. We ended up with the Reefit furler made in Tasmania.
Furlers considered:
Reefit C16
Harken MkIV
Furlex (Selden) 404S
Facnor LX290
Schaefer 3100
Profurl C430
Reckmann R30
Features wanted (in order of importance) and furlers that have them
1. Independent tack swivel - Reefit, Harken, Furlex, Facnor
2. Open drum - Reefit, Harken, Facnor
3. Torlon bearings in open races - Reefit, Harken (partly), Facnor (partly)
4. No dissimilar metals in contact - Reefit, Harken, Facnor
5. Price - Reefit $3,500, Harken $6,500, Facnor $5,200
Bonus: Warranty - Reefit 10yrs unconditional, Facnor 2yr limited, Harken 7yr limited (although my experience with Harken has always been unconditional)
So the choice came down to only 3 manufacturers with the features we wanted, so we chose on price. The AUD was 0.65 to the USD, so that was a 35% discount on currency exchange alone.
The reason an independent tack swivel was our first priority is because this type of system takes a full turn out of the middle of the sail before the ends begin to furl. The result is the sail is flattened as it furls and retains its shape. Foam and rope luffs are often sewn into headsails in an attempt to flatten them as they furl, but the independent swivels do this, and don't leave the less efficient thick luff when unfurled.
Mark