I will say I like that there was time to sort everything. Throwing a big even in no time is stressful and feels a bit like not caring to put the time in.
I would hate to do it sub 1 week personally. For my mams I hand made all the funeral flowers etc... (I didn't want to just get some random person to make something generic) so had to order stuff to be delivered + the time to make it.
The body also sat for visitors in the chapel of rest for a week because not everyone (important family) could go at the same time + people want privacy to say goodbye not to be on top of each other.
I do think sometimes it takes way too long, like when I had my MMC the hospital offered to host a free cremation for us (we didn't expect it as we thought it was only for stillborns) and we appreciate it and no I can't really complain much.
However I was induced and he was born on the 13th of February and the funeral was March 20th (over 5 weeks later) which felt way to long but apparently the hospitals admin who deals with bookings took a holiday (no one filled in) and created a backlog.
But I don't personally think I would like it if it was only a few days between death and funeral. I think 2-3 weeks gives time to inform everyone, get over the shock, say goodbye, sort everything out for the funeral (outfit for deceased, music, flowers, eulogy, admin etc...). I don't really care about clearing out houses or starting the probate like PP mentioned (a rush to do that feels really crass).