Can we please have a progress indicator in the Arcade tab of the Mission menu?

In the normal arcade it tells us what it will cost to go down to a certain tier based on our progress in unlocking that gate, but the mission menu does not.

Now that we can access the arcade from the mission menu and don't have to go to the arcade, it's very convenient to check out the new gate from anywhere. Having to pull up the character menu to get the progress tab to see which gates are completed is somewhat tedious even with the convenience of being able to play the arcade from any location though.
Either something like the progress tab with the stars would be nice, or just a simple line showing the cost to start playing at a specific stratum like the arcade.

Thanks. :)