I'm looking at booking LH J from YYZ-MUC over the next few months and can't figure out which plane it's on. The LH site says it's operated by an A333 with the new J class, but the seat map is showing a configuration with 36 J seats - 6 rows (3/4/10/11/12/14) of 6 seats each.

As far as I can tell, there is no A333 with 36 J seats. There's an A343 with 36J, but LH specifically states it's an A333. I see the same issue on every date I've checked. Anyone know what this means?