The. fine. article. seems. to. say. lots. of. companies. are. using. Tailscale. to. connect. to. servers. with. GPUs. -- nothing. in. that. implies. that. Tailscale. would. own. the. GPUs.
Besides my joke, you are bang on, nothing implies needing to buy GPUs and based on my knowledge of their product/the space, absolutely no reason to.