Yes, both is the answer. Theres no need to make sure you train 1/2 with gi and 1/2 without, because thats hard to do and you may not be doing BJJ primarily for self-defence. The thing is, knowledge of how to grab clothing and use it as a handle, as wel as how to defend that, is pretty vital because while you probably can't hip throw a 200lb man by his t-shirt, you can usually choke him unconcious with it. If you're concerned about self-defence being rounded is very key. Understand striking and weapons as well, grappling is one apect of fighting, though it is often enough.
Take in what you can from both, understand how they each work and feel a bit differently though largely similar. You may need to choke someone out with your own sweater, who knows.
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