Is it safe to work in a privately run photography studio?

It seems that this can only be discussed with the boss. There are many private enterprises, mostly. The main thing is whether the benefits are good or not, whether you are satisfied with the conditions offered by the boss, and whether there are any development prospects. There is no need to think too much about others. State-owned enterprises may also be laid off.

If you leave a contract with your boss on what you have discussed, it will have legal effect.

If it is determined that the store is unwilling to sign the contract, then you need to be careful.