Separate Ticket Statuses and Custom Ticket Statuses

We have statuses (example)

Open
On Hold
10 other custom statuses
Closed

2.1 Custom cretes ticket --> status open
2.2 We response --> status On hold --> But we will change it manually in some custom status
2.3 Customer replies --> status is open again
2.4 Other our support person reply and staus go Open --- he can not see anywhere, that real status should be some of our custom statuses.

So this is the reason, why custom statuses should be separete to normal status (Open, On Hold, Closed)