I am sorry for your loss. I am glas there was a will ( will settle disputes later) and yes all my accts are joint !
probate is not required on small amounts
https://www.co-oplegalservices.co.uk/media-centre/articles-sep-dec-2017/why-probate-is-not-required-on-a-small-estate/
bear in mind that this is a solicitors site so they will be more than keen....
Joint accounts are outside wills, and you should be able to remove the decd by going around with a DC - we didnt bother.
I wound up an admittedly bankrupt estate 7 y ago - and I have to say that no one cared an awful lot and I am now in the process of shredding the paperwork. ( unpaid elec bills from 2015 etc)
dulll depressing work, my thoughts are with you