I don't think any Toyota engines don't have VVT-i (not all have dual VVT-i though maybe), Valvematic doesn't interfere with VVT-i, besides probably losing the second cam lobe and hydraulic actuator. Valvematic has the cam push a roller which is attached to a separate shaft, which is connected to a...I think I saw it called "finger follower" which actuates a second roller on a lever which actuates the valve. The camshaft timing can be adjusted independently.
They use the 1.6L 1ZR-FAE on the Lotus Elise base model in Europe...wonder why we Americans don't get that

Guess it's not cost effective to give us 2 different engines, when we have the biggest market?