No, the SLP portion still uses a single address. :( The BCH portion now uses the next most available address. bitcoincashj has had it for years.
Sounds good enough.
I've heard something about losing your tokens if you spend BCH incorrectly. Can I somehow fuck it up?
No. SLP tokens are stored on m/44'/245'/0', while the BCH wallet (and BCH used for sending SLP tokens) are on m/44'/145'/0'