Field Range/ turrets/ shoot question

Please help clear up some confusion about shoot tech, turrets and field length.

I have been told shoot tech does affect turret range.  But...

I know of a city with max shoot tech and lvl 10 turrets.  When on battle field, it shows a field length of 1,350.  I understand that you add 300 to the max range unit on the field.  Thus the max range unit here (turret) would have to be 1,050, which I believe is the base lvl 10 turret range.  Would that not mean shoot does not NOT affect turret range?

1- Higher shooting tech, higher turret range
2- dont bother with turrets till u can get them to lvl 9 or 10 because cats can easily call them otherwise.
3- the turret range starts at around 600 for a lvl 1 shooting tech. I dont know numbers i would have to find them. But lvl 10 shooting and lvl 10 turret lvl are 1,050 Also the higher the turret lvl the higher the range as well

when i had lvl 10 turrets while my shooting was lvl 9, my field length already reached 1350. so i am not sure if shooting affect turret's range either.