There appears to be two callsites in devtools that set state in the network process, which would get lost on a process crash. Network process crashes should be rare, but I defer to the devtools team on how important it is that this is reinitialized after a network process crash:
1) RenderFrameDevToolsAgentHost::GrantPolicy() calls NetworkService::SetRawHeadersAccess()
2) NetworkHandler::SetNetworkConditions calls NetworkContext::SetNetworkConditions()