Ok I could see that. But it is a Buck-Boost with UVLO of 2.6V. The typical input voltage is a car battery (so about 13V is tested on a bench power supply). I don't see it drop that badly.
My case:
input: 12~14V
output: 13V, 3A | 16V, 3A
1/0.9*12V/13V*3A =3.08A
1/0.9*12V/16V*3A =2.5A
Isn't that backwards? i.e., it should be 16/12, which, assuming a 90% efficiency gives a worst case input current of around 4.5 amps. You have a 3 amp fuse. The trip current is the current where a brand new fuse is guaranteed to trip within some time, but it may trip for anything over 3A. Each time it trips, but especially after the first trip, the cold resistance goes up, this decreases the trip point.
Next, is there any chance the supply operates at < 12 V for more than a fraction of a second? If the supply drops to 9V the input current rises to 6A -- more than enough to trip the PTC. You plan to use this on a car battery, but are testing it with a bench supply, what is the current limit on the supply? If the 12V supply is current limiting (even during start up transient) and the voltage drops, the regulator will try to draw more current than you expect and that can cause unstable operation. You should probably increase the ULVO threshold to something like 9-10V and set the PSU current limit to > 6A. And use a larger PTC.
Finally, what is the operating temperature? You also have to derate PTCs pretty seriously for operating temperature. At 60C the hold current on that fuse is only 2.2A.
This is the problem with PTCs. The large trip/hold ratio, temperature derating, and aging means that you often have to way over-size them compared to what you think. For this application in an automotive environment where you need to handle a hot day in Phoenix or a cold morning in Minnesota you might need a fuse with a 6A hold rating that derates to 4.5A at the highest operating temperature. If you are operating in the engine bay vs. the passenger compartment it might be even worse. On a cold start that fuse might let 20 A through for several seconds, so your wiring all needs to handle that. If the circuit has an upstream 10 A or 15 A fuse it might blow before your PTC rendering the PTC kind of pointless.
That said, I hate traditional SMD fuses. They aren't as finicky as PTCs, but their cold resistance and aging are much worse than traditional fuses, plus when they blow you have to break out the soldering iron to fix them. If you are going to us an SMD fuse, oversize it considerably and consider the chance that a transient fault could disable your device with no easy fix. Can you fit a mini-ATO blade style fuse?