Ok, thanks, makes sense. Yes, I already had in mind to drill and add a "via", those tracks are pretty bad.
After fixing that it was still not coming up. Some more debugging and the low voltage rails were all near zero Volt, then found a broken track in the PSU controller feedback loop. It was weird, because a little piece (1 or 2mm) of the track was missing, but no darkening of the area, I could barely see it (discovered it with the continuity test). Nothing else seems to have been affected. Everything came up after fixing the track.
I think the original problem is a mechanical design flaw. The bridge plus another "rigid pins" big power device (a 3 phase power IC) are rigidly soldered to the PCB and rigidly screwed to the heatsink (there are also other 2 TO-264 devices but the legs were bent in an arc to provide for some strain relief). Then, to make things worse, the plastic housing where the PCB is screwed is very tight on the PCB and keeps it constantly forced sideways, thus forcing the rigid legs of the power devices. This in a device where there is some vibration, and voilĂ ...