In fact, a link from your link states;
^'The i Paper has learned he was offered a taxpayer-funded bodyguard, car and
trained driver supplied by private contractors.'^
'Supplied by private contractors' - which suggests not armed.
'The source said: “My understanding is he demanded something akin to what the Home Secretary gets and was denied it and therefore can claim that he was denied proper protection.”
Elsewhere, ITV stated;
'As expected, the prime minister, home secretary and defence secretary are all given state-funded protection and armed bodyguards.'
One assumes then, that Kemi Badenoch/Leader of the Opposition does not have armed protection as a matter of course, perhaps only for high-profile events?