Well for McCormick there weren't a whole lot of BLS IFT calls in the first place. Not that they didn't happen, but when I worked there it was possible to go several shifts without one.
Of course "Fire" calls come in all the time, usually closest unit goes
So when I worked there, 24hr shifts were 0700-0700. It was encouraged to show up to station 0630, because starting 0630 was when oncoming crews were allowed to clock in early to take a call for the off going crew. I do say when it's 0645 and your relief isn't at station yet and you're getting a call, that always kinda sucked.
Most 24hr stations had 2 units (a handful of slower areas only had 1 unit, some stations had 3 or 4 units), so they tried to split the calls between the two, so if both were available, if you took the last call they'd take the next one, and vice versa.
Day Cars, which are 12 hour units (and had shifts staggered all around the clock, day and night, some were 12, some were 11½, I think there were a couple 10s...).
Most Day Cars didn't have a set station, theyd operate out of HQ and go post wherever coverage was needed. Some were generally assigned a geographical area so if you picked up 1114 you knew you were going Inglewood vs 1711 which was a Carson area unit. Some (like that 1711 unit) did operate out of stations, and when sufficient coverage was available, Day Cars would be posted to stations vs street corners.
The Day Cars were always 1st up for calls or Move Ups (relocations to cover neighboring stations whose units were allvout on calls). In theory the Day Car can catch every call in the area.
McCormick has been buying all new Mod ambulances with Stryker Power Lift and Power Load systems, tho there's still more than a few older vans and mods in service as reserve for when newer units are in maintenance or whatever. All the new rigs had electronic Q sirens which I thought was really cool (my own FD, some of our Engines don't even have any Q siren
)
Pay was essentially Minimum Wage. If you had uninterrupted nights, they'd only pay like 20 or 22 hours instead of the full 24 (I forget exactly, the rule was something like 5 uninterrupted hours between 2300 and 0600 or something along those lines, my unit was always busy enough we almost never got to sleep enough to get that, running all night and got the full pay heh). They can mandatory hold you over up to 4 hours past scheduled end of shift. That was usually only when your relief called off or otherwise didn't show and they were finding someone to cover down (sometimes a Day Car getting split to cover the 24hr shifts or call in OT or whatever).
If you were willing to work it, OT was essentially unlimited, you could 48+ with no issues from Management, but they really didn't like it if you tried to call off for being too tired. If you felt you were too tired to safely work, the main option was 4 hr nap at HQ
Relationship with Fire... Fire was in charge, period. Some of the LACo guys were great, we got along wonderfully, meanwhile the next station over were a bunch of jerks, kinda hit or miss. Even if you're working one of the handful of Medic units, when assigned a 911 call you were officially delegated as BLS unit working for the Fire Medics
If you're on a 24, your schedule was set to that of Fire, so in a County area you worked a Kelly, in Torrance you did 48/96, etc.
The AMR buyout happened just before I ended up leaving for Honolulu, and thats been a lil over 3 years now, so idk how much things have changed. I do know they took over Santa Monica since then and added a couple stations and hired a ton of new people so I imagine a lot of the little day to day details have changed since then, though I still have friends who work there (field and dispatch) even one who just became an Associate Supervisor