Given the old saying I'd avoid that bet if I were you @TizerorFizz
The point about Bucks is that it is less local region focused, presumably due to the school mix, and likely higher prevalence of indie pupils. You already I think added a couple of useful destination sets for some Bucks grammars which indicated a likely more nuanced picture; and given you are in Bucks and on balance have more useful contributions than not, I thought Bucks would make an interesting county to look at.
In the South East overall 33.7% attend a South East region uni, in Bucks it is 25.7%. Bucks has a higher proportion as compared to the overall SE going to unis further afield - 12% to East Mids as opposed to 8.3%; West Mids 8.7% as opposed to 5.7%; Yorks and Humber 6.1% vs 4.2%; North West 5.1% vs 4.0%; North East 3.5% vs 2.7%, and ,suggesting a greater level of financial prudence, a slightly smaller figure heading into Scotland.
Derby, Plymouth, Liverpool won't have that profile - but will be more localised. Lincoln will get wrapped up in Lincolnshire, but again will be more local; though probably not to the same extent as the other three.
So remembering the local region figure for Bucks is 25.7% let's have a look
Derby - 50% attend a local region Uni (eg one in the East Midlands). Double the local region figure for Bucks.
Plymouth - 66% attend a local region uni (eg one in the South West)
Liverpool - 58% attend a local region uni (eg one in the North West); Greater Manchester has an almost identical figure
Sheffield - unfortunately gets wrapped in a single figure for South Yorkshire; however as that is 58% I'm confident Sheffield won't be much different.
Lincolnshire - closest figure, but that is still 42% attending a local region uni
Overall the Bucks local region percentage is amongst the very lowest in England- although bettered by Slough (23.7%) oddly enough, and also Surrey (24.7%)