shouldnt make any difference to the insurance price.
Only makes a difference on any subsequent pay-outs if you write it off again as the book value is lower than a none cat D, even if it’s fully repaired, due to the stigma of it being a cat D. I only have experience with cat C’s but they will be on their system and it should be on the log book if it has changed hands since being a write off.
Only problem with Cat C is you probably need a VIC test the first time it changes hands after being written off (might also be first time being re-taxed or mot’d not sure but all I had to do with ours was a VIC test to remove the marker)