The Chat Moss definitely not, the local services already slow down 100mph trains so 125mph trains would be worse. Leeds to York is already as high as it can reasonably go, given the geometry constraints.
Wolverhampton-Shrewsbury just doesn't justfiy the costs of upgrading and maintaining the line above 100mph. Crewe-Chester is damned twisty and pretty short, so the benefit of an upgrade is very limited.
Remember, 100 to 125mph is 8sec/mile. You also generally need 3 or 4 minutes between trains so to get the benefit of an extra path you need to save 6 or 8 minutes journey time (3/4 minutes behind the first train and 3/4 minutes behind the extra one). That means to save 6 minutes you need to be able to upgrade 45 miles of 100mph running to 125mph. Now also consider an extra mile or so each side for acceleration and braking (acceleration being the harder as the power required curves upwards, 1-60 is easy, 60-100 is harder, 100-125 harder still), you really are running out of areas with 50 miles or more between stops that haven't already been upgraded.
A related question here is could you save more time by not going as slowly in other places? A lift from 50mph (72s/mi) to 75mph (48s/mi) saves half as much again (12s/mi) as the 8s/mi of 100 -> 125mph. Knocking a stop out of a 100mph section of line saves about 4-5 minutes on it's own.
Also consider the mixed traffic problems - track canted for a 125mph passenger train is going to behave very differently when a 60mph 2000 tonne freight train runs over it, or cause serious problems for passengers of a local train stopped at a heavily canted station. Look at Wolverton, on the WCML here (and this platform is only 90mph!
https://www.shutterstock.com/image-photo/wolverton-buckinghamshire-england-april-11-2017-1193404771). In addition, if the railway is 2-track you will not be able to run faster than the train in front, so have you got junctions, loops, or termini at the right point so that your very expensively speeded up train does not then encounter yellow signals? Spending millions upgrading the track doesn't help if the trains ahead of you are stopping at every station.
Of course, you can remove trains from in front of you by diverting them or changing stopping patterns, but that will cost revenue so if the additional revenue from running faster worth it? Then consider the cost of maintaining higher speed track. It has tighter tolerances and needs to be inspected more often as even the smallest crack could multiply quickly. Is the value of the 125mph running repaid by train revenues?