Yeah you can have a like for like vehicle. However in you're earlier post you said that due to the other side now not accepting liability you were going to maximise you're claim.
You just have a duty to mitigate your losses so for example if you had access to another vehicle that you could use while yours is being repaired you should use that instead of being in a hire vehicle.
If you check the small print of the hire agreement it will usually state that you are ultimately responsible for the hire charges and they must be paid within 12 months. Although with that dash cam footage it shouldn't take long to resolve liability