There's obviously some magic to glue different accounts together without user input, so I can see my Scottish Widows pension and Halifax credit card balances in my Lloyds Bank app[1], even though I have separate logins for each brand's website and app. Possibly my National Insurance number and address I'd guess? But I can see it going badly wrong if they get the magic merging wrong...
[1] Clearly I need to open a Bank of Scotland account to get the full set.
https://www.ft.com/content/a304cf5a-5d91-4d4d-a41f-16651b59e...
But I suppose you mean connecting these directly based on the national insurance number, rather than relying on user consent to use OpenBanking to see them all together in one place.
My daughter opened an account using the app only (Scan passport, video clip to authenticate) got the card the next day and setup up savings, investing ISA's with a few clicks. Again incumbents not willing to innovate until someone disrupts, but probably too late.
The issue is that Lloyds Banking Group was basically bifurcated by brand, so that the Lloyds app and website only had your Lloyds current / savings / credit cards etc. whilst the Halifax website and app only had Halifax current / savings / credit cards. They're clearly trying to merge things so you only need one app / website.
I noticed my soon to be closed nearest Lloyds branch gained a "Halifax customers can use this bank." poster in the window, I'm not sure if that's just a reaction to the fact that physical bank branches are getting kinda rare, or if it's really taken them about 17 years to merge the Lloyds and Halifax backend systems to the point where branches are interchangable.