The title of the section is "Yearly Hotel Reward Nights" so I've been treating it as per year but you make a good point, it doesn't say on the badge, and it would be more consistent if it were lifetime like miles, countries and points.
Yes -- sorry, I didn't look it up before my last post. But it is woefully unclear in any event. Does that mean nights stayed counting towards a reward, rewards redeemed? And then there's the whole bit of what does "Yearly" mean. Is that each year (on average), or just this year? It's s

unclear. The airline miles, countries visited, and years on FT categories are lifetime related so IMO the hotel one should probably be as well.