Since the OP is asking about day/home care any property still occupied by the PWD, is excluded in any FA and the lower threshold does not come into it at all.The home value is not taken in to account if a spouse is still living in it or other specific dependants.
Welcome to TP,
Have a read of this link and come back with further questions.
https://www.ageuk.org.uk/globalassets/ageuk/documents/factsheets/fs46_paying_for_care_and_sport_at_home_fcs.pdf
Since the OP is asking about day/home care any property still occupied by the PWD, is excluded in any FA and the lower threshold does not come into it at all.
That is correct the value of the house is disregarded. Only their individual savings are used to determine if they need to pay for any care at home. If they do not have savings the Local Authority should help with funding.4.8 Capital that must be disregarded
The property you are living in as your main or only home is disregarded. Personal possessions are disregarded as long as they were not bought with the intention of avoiding future social care charges. See section 6 regarding deprivation of assets.