Thank you for the replies. Krags, '03 Springfields, 1917 Enfields, Lebels, Berthiers, MAS, Lee-Enfields, Mannlichers, Moisins' Mausers (that cock on closing and cock on opening) and most turn-bolt commercial actions allow the bolt to close and 'relieve' the striker, if the trigger is held back as the bolt is rotated closed. Almost all turn-bolt sporting rifles and military rifles, (high power and .22 cal.) allow this. (Whether they cock on closing or opening).
The Arisakarifles I have handled are the exception to this practice. I have carefully studied the Type 99 action and its operation. I realize the Arisaka 'safety' operates a bit different in that you have to push forward on the 'knob' in order to rotate it. However, I don't see why it is necessary or the sear is 'set up' so that the striker needs to remain cocked, in order to rotate and close the Arisaka bolt.