Yes, strength can definitely lead to more size, but that isn't the pathway with steroids. They'll give more size no matter what. A lot of pro bodybuilders just train for shape by going for the pump, but of course they grow anyway with all the gear they take.
It sounds like you may have a lot of type I muscle fibers. You're lucky. If you respond to heavy training you can put on more size since you have more fast twitch muscle tissue. So yeah, in that regard, anything that boosts strength will be an asset.