Yup. However, with Alpha Strike, you're usually thinking more at the company level than the lance level - so having a platoon of Warriors and a platoon of Sturmfuers, with a platoon of Bulldogs as bodyguard, is more the thing. Platoons/lances become the building blocks.
Note also (unless it dropped off in ASCE) you need vehicles in pairs - eg. you could have a platoon with two Bulldogs and two Sturmfuers.