There is quite a balancing act on how much time is saved.
Very roughly it is 44 miles from Cricklewood to Bedford, but few bits are never going to get to 125mph, so let's call it 40 miles max. A train doing 120-125mph could cover it in 20 minutes, more realistically 21-22 minutes as needs to accelerate to top speed once get on fast bit.
At 100mph, the 40 miles will take about 27 minutes, so about 5 minutes longer than 22 minutes. However there are few bits with speeds between 100 and 125mph due to curvature etc. Slowing down bit and then accelerating back to 125mph few times, is going to eat into another 1-2 minutes. So the upgrade to 125mph only really gains about 4 minutes.
I do not know if 810s can change system at 100+ mph on full power, I suspect in reality likely to be 20 seconds of coasting, during which bit of speed will be lost. To put it into perspective that 5 minutes, doesn't even restore the extra walk time to tube or road in front of St Pancras which was added when trains were moved outside the Barlow shed.