How much UPS runtime do servers really need?
That depends on whether the plan is graceful shutdown, short ride-through, or generator transfer. Many environments do not need long battery operation, but they do need enough verified time for the shutdown workflow to finish safely.
Should the network gear be on the same UPS as the server?
Often yes, at least for the parts needed to manage the shutdown or maintain the critical service path. A server that stays up while its storage or switching dies is not fully protected.
Is bigger always better for server UPS selection?
No. The best UPS is the one that matches the real server stack, leaves sensible headroom, and supports the exact continuity or shutdown strategy you plan to use.
Should I put monitors and convenience devices on battery too?
Usually only if they are operationally necessary during an outage response. Nonessential devices can consume battery time that the server or storage stack needs.