Duedel... in ALL aircraft flaps deployed or not, when you get below your best turn speed, turn rate will suffer.
In most of the fighters you will find your best turns happen when your speed is around 200ish (i think, it may be abit higher). I think this is the lowest speed a fighter can pull 9gee..(can someone confirm?)
At speeds above this optimum, your turn will have a large diameter, but may still have a decent turn rate. At speeds below... your turn diameter maybe tiny, but as you found your turn rate is poor.
This is how p51's CAN outturn things like spits +) If the 51 is at his best turn speed and the spit is going too fast.... you can guess the rest.
"WTF!!!! that La7 just outturned a spit!!!!".... well now ya know the most likely reason
As far as which planes turn better with flaps... I think most of the planeset, will turn better at their optimum turn speed without flaps. As speeds get slow the flaps will slow you down permitting a smaller diameter turn with more control (delayin stall).
Flaps can also help to keep your speed close to the optimum speed in a downward spiral. This is a classic move in p51's and 38's to turn nose low and drop flaps to keep the speed from causing the spiral to have too large a diameter and to force your opponent to overshoot either vertically or forcing him into lag pursuit.
Geez... this topic is one that can go on and on...
Hope I helped some
SKurj