The only reason for Oswald to have named Norman and Jarman would be that the time must have been 12:25 or later and the place being the drowns floor. This gives Oswald a plausible alibi.
Oswald MAY have seen Carolyn Arnold at 12:15 but maybe he did not name her because it did not provide an adequate alibi. In fact it would be of no help for Oswald to mention seeing ANYONE from 12:00-12:20.
There is an official recorded statement from Carolyn Arnold of seeing Oswald in the front lobby ground floor at 12:25 while she was out front of the TSBD on the sidewalk by Elm st.
Imo this statement is NOT a contrived FBI record since it provides Oswald a very strong alibi.which is contrary to the Hoover directive and the LBJ pressure that Oswald must be “our man”
IF Oswald said he was “out front” to watch the P.parade, per the Hosty recorded notes, then it’s even more improbable that some FBI agent would fabricate a Carolyn Arnold sighting of Oswald at 12:25 on the ground floor front lobby..
Therefore the timeline is as follows:
12:15 - Oswald gets a coke from the 2nd floor lunchroom machine. He is sighted here by Carolyn Arnold. Oswald does not name Arnold as a witness to Fritz as it does not provide him an alibi
12:20 Oswald is in the Domino room alone.
12:23-Oswald sees Norman passing by the Domino room. Oswald names them specifically to Fritz because of the time being late enough to establish a plausible alibi for Oswald.
12:25 Oswald had moved to the front lobby and looking out the glass partition. Carolyn Arnold seeds Oswald AGAIN.
12:29 Oswald moves out to the front landing (with unfinished coke in hand) and selects the only available spot to stand on the crowded top landing which is the west corner.
12:30: Oswald is captured in the Weigman film raising a coke bottle to his mouth as he stands in the ‘em west corner in shadow.
12::30:05-12:31:30, Oswald supposedly has an encounter with Baker and Truly somewhere between the front entrance door to the 4th floor given the various versions of Baker notes, affidavits , newspaper accounts and WC statements.