Low fuel pressure is a possibility. Does the exhaust get gassy smelling after cranking for a while? Ultimately it should as the fuel pump would be delivering fuel pressure to the rail. Fuel pumps are funny that way; they'll fail, but they'll still push a lot of fuel. Just not a lot of pressure. The best way is to run a pressure test on the fuel rail and see what it's actually getting.
Another possibility is that the in-tank pump busted it's hose between pump and top of tank. That really ruins the pressure, but sometimes doesn't affect the volume if you only do a fuel flow sight test with an open rail or something. (I can't remember the configuration of the Regina pump offhand, but I think I remember it as having a vulnerable hose in the location described.
Another potential issue would be a weak spark, but that isn't as easy to test for. If you have another Regina car, swap the coils and see what happens. And maybe change the crankshaft sensor, as it could perhaps be sending signal at the wrong point.
And of course, if the timing belt slipped a few notches, it would hose up everything. I'm not sure how it could, but I've seen it happen so many times that it wouldn't surprise me.
I'm sure you're on top of these things already, but just in case you forgot one of them, I thought I'd list them out.
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