I have a CZ 452 Varmint purchased in 2008. Out of the box, using many brands of cheaper ammo, it averaged 50 yd groups of 1/2 " ( Win Wildcats, CCI Minimag HP ) to about 1 1/2" ( bulkpack federals, ect) depending on brand of cheaper ammo.
I then put in a spring kit which greatly improved the trigger pull and also tried to glass bed the CZ 452 Varmint. Unfortunately, the design of the Varmint is not what I consider the best as far as mounting the gun to the stock, due to the way the second screw is part way down the barrel instead of on the receiver. After my first attempt of bedding, the accuracy drop, and I did some bedding near the barrel screw to try to see if I could bring its accuracy back to pre-bedding condition. ( note: I probably should use a torque wrench when setting the screws)
After playing with the bedding, the gun shot about similar, but not exactly the same as prior to doing any bedding, but some ammo's shot better, and some worse, but the CCI mini-mag HP continue shooting about 1/2" 50 yds groups.
Using CCI Velocitors, the gun shoots ~ 3/8" groups at 50 yds.
Maybe using various match ammo's it may, or may not shoot better, but currently I'm happy with what it is shooting with what I am shooting in it.
( all of my shooting with it has been in less then ideal wind conditions)
The stock on my CZ Varmint is above average ( probably would grade semi fancy or slightly better) with a little figure in the stock. and currently has a Weaver 3x9 AO scope on it.
Using the spring kit, ( which has several options, ((cant remember who sells it, but look on the internet and you will find it, it cost about 15 or 20 USD , I think)) you should be able to get a very light trigger, if need be, and its still cheaper then the 453, if you do not need to mess with trigger pull in the feild, then the 452 with trigger kit, is fine, but if your hunting with it one day, and shooting the bench the next, you may appreciate the ease of the 453's trigger adjustments.
Sorry, I have no Annie to compare it to. But if all CZ's are similar to mine, it should be very good for squirrels.