//It’s interesting how many ABers don’t seem to understand how this interest rate rising, effects the economy.//
You seem overly fond of pointing out what ABers don't understand. I think there are one or two holes in your understanding which I shall try to fill.
//...but the problem for the government is that many of the inflationary forces (on the UK economy) are not a result of an overheating economy (where there is too much money around),//
There are two main causes to the current high rate of inflation. The war in Ukraine has put stresses on global supply chains and in particular energy supplies (and hence their costs). Secondly (and just as important if not more so) is that the government printed some £400bn of worthless money during the pandemic and a similar amount following the global financial crisis. Whether this was the correct approach to cope with these crises is outside the scope of this question, but as any schoolboy or schoolgirl knows, if you print worthless money (i.e. that which has been injected into circulation without a concomitant increase in productivity) the value of all the "real" money is reduced. £400bn is about 15% of the UK's GDP and if that amount of money is released into the economy it is bound to have a profound effect. The BofE insists that "Quantitative Easing" (as it likes to call its money printing exercise - it sounds better) keeps interest rates low (which it does) and so helps control inflation (which it certainly and evidently doesn't).
//So all those with a mortgage were suffering (as now) but the effects on others was minimal.//
That's not quite correct. The effect on businesses who rely on borrowed money to grow (and in some cases to survive) is significant. However, you should look at the converse as well. Interest rates are just returning to realistic levels. For fifteen years they have been artificially depressed (mainly by government policies in response to crises, as above). This means that individuals and businesses have been borrowing money at virtually no cost. This (together with over-population) has caused rampant property price increases and to people living beyond their means. But all during this time, savers (who outnumber borrowers by about seven to one) have seen their returns decimated. They have effectively been lending money to the banks for virtually nothing. Strange as it may seem, savers spend money in the economy as well, and since there are seven times as many of them, the effect that low interest rates have on the nation's overall spending is even more profound than it is on the relatively few mortgage holders.