I would doubt L19 will get one of the first rigs - even though their current 2001 rig is ex-BOT, all the companies with 1999's should get theirs first since they are all past the 10-year mark.
L-19's current rig was ORIGINALLY assigned to 40 Truck, and was 40's first (and probably only) rearmount. I know because I was detailed to 37 Engine the day that 40 went to pick up the new rig and put it in service. (I remember the Brothers from 40 were NOT very happy about getting a RM). It was very short lived and the Brothers in 40 made their case about needing a tiller to get around certain streets in their first due area, and how they couldn't do it with the rearmount. I believe Senator Charlie Rangel actually played a part in helping them get a new tiller. The rearmount then went to BOT, and was eventually assigned to 19 as their permanent rig after 19 had a few close calls with their '99 Seagrave RM malfunctioning at jobs. The '99 is now out at The Rock.
While 40 had the rearmount, they put a 9-11 memorial sticker on it honoring FF Kevin O. Reilly who was assigned to 40 Truck, but was on rotation and assigned to 207 Engine when he was killed on 9-11. 19 left the sticker on it and it is still there to this day.