BT currently offers Business users 24 hour support by phone which will hopefully sort out network related issues. Business ADSL?VDSL also has NBD on site as standard (which, I believe, includes Saturday AM).
The missing piece is the copper pair - and businesses can get rapid support for that too, but at a price.
At various times there have been: Enhanced Care, Criticalcare, Total Care ...
Have a look at:
https://www.btwholesale.com/pages/static/Library/Pri...
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