I think it will feel more tightly integrated if it shows your balance, but that’s not crucial in my opinion. As for which balance, I would want to see whatever I have available to spend in a particular NWC app. For instance if I had 100k sats in my Alby wallet, and budgeted 10K to snort and 10K to Damus, the only balance I would care about in each app is the 10K. I would prefer to go to my Alby account/wallet to view and manage the entire wallet balance.
Discussion
thanks, that's how I see it, too.
Do you think for example per transaction limits are also important?
For me a “per transaction limit” would not be very important because I already keep such small amount in that wallet. But I can see why some would want that level of control. It could especially be useful in situations where you want to give members of a team access to use a wallet, but want to keep tighter control over use of the funds.