As much as I would want the UK (and the rest of the Commonwealth) to abolish the monarchy, I think abolishing so soon after the Queen's death would spark a ton of backlash and bad optics, and possibly become as much as a divisive mess as Brexit was for years after the referendum took place.
I think if the government and republican citizens want to end the monarchy, it's probably better to wait until the whole country's had time to grieve, the queen's funeral has taken place, and Charles has been on the throne for a little while. That way, it doesn't look like they were just waiting on the Queen to go before getting rid of the institution (even though the republican cause has been around for far longer than Elizabeth was Queen). Just my two cents, though.
This. Though what I see more likely to happen is the continual diminishment of the Commonwealth as more and more former colonies
follow Barbados' lead by cutting their last remaining ties to the monarchy and assume full, formal independence. I also can see the former settler colonies of Canada, Australia, and New Zealand becoming republics.