The system lists the bounty amount twice when you stole something:

1. You get a warning message at the top of the screen, it lists the bounty amount.

2. Guards will hunt you down, they will ask you for the bounty amount (if not, they will try to kill you).

It's obvious when you got caught stealing:

1. You will get the warning if they decided to put a bounty on you.

2. You will hear a dialog related to your stealing.

3. Persons will flee to get guards or attack you, guards will attack you.

I don't see why you would need to know the bounty if you don't have the chance anymore to pay it, as they are chasing you down. As for looking whether they detected you, the systems has enough ways of telling you so that you do not need to check if you have a bounty on your head.

The system lists the bounty amount twice when you stole something or kill someone:

1. You get a warning message at the top of the screen, it lists the bounty amount.

2. Guards will hunt you down, they will ask you for the bounty amount (if not, they will try to kill you).

It's obvious when you got caught stealing or killing someone:

1. You will get the warning if they decided to put a bounty on you.

2. You will hear a dialog related to your stealing.

3. Persons will flee to get guards or attack you, guards will attack you.

I don't see why you would need to know the bounty if you don't have the chance anymore to pay it, as they are chasing you down. As for looking whether they detected you, the systems has enough ways of telling you so that you do not need to check if you have a bounty on your head.