If tailscale inside a container allows you to talk to it via “direct” connection and not a derp proxy, then it will offer you better service isolation (can set the tailscale ACLs for this specific service) without sacrificing performance.
Tailscale pushes for it because it just ties you in more. It allows to to utilize the ACLs better, to see your thing in their service mesh, and every service will count against the free node limit.
In practice, I often do both. E.g. I’ll have my http ingress exposed to tailscale and route a bunch of different services through it at a single tailscale node, where the access control is done by services individually. But I’ll also run a pod-to-pod tailscale between two k8s clusters because tailscale ACL is just convenient.
For the last 10 days tailscale clocked 1% battery on my phone. I honestly didn’t even consider turning it off for battery savings.