Is the slit vertical traveling horizontally or horizontal traveling vertically? Your reply assumes the latter. I believe the EOS-3 and other film cameras moved horizontally. The effect should be to lengthen the car or motorcycle in the picture.
Since the DSLR days Canon's mechanical shutter moves up&down(horizontal travel vertically). I'm not expert in older SLR, and my 1V's mechanical shutter is no different to modern cameras. I don't know Canon did something different for 3.
As
@DhlcadR6 writes, modern DSLRs travel vertically because it is quicker to traverse 24mm than 36mm.
All EOS SLRs, both film and digital, have had electronically controlled vertically traveling blade shutters.
The AE-1, AE-1P, New F1, and most other late FD mount bodies in the A-Series and F-Series had horizontally travelling one-piece cloth shutter curtains. This made camera design simpler so that the same mechanical motion from the film advance lever also cocked the shutter curtains. The final FD mount bodies, the T-Series introduced in 1983, had vertical shutters. There were also a limited number, reportedly less than 100, of New F-1 bodies made for use by press photographers at the 1984 Summer Olympics with vertical blade shutters, enhanced motor drives, and pellicle mirrors that could shoot at a then record 14 fps.
The tipping point for going from horizontal to vertical shutter curtains was the elimination of manual film advance levers as 35mm film cameras were introduced with automated film advance built into the body. The shorter transit distance across the short dimension of the frame and blade curtains driven by electronic motors rather than cloth curtains resulted in shorter X-sync timings. Instead of 1/60-1/90 X-sync Tv, cameras quickly went to 1/120-1/180 X-sync for flash photography. The T-90 had an X-sync of 1/250! The professional New F-1 with horizontal cloth shutter was limited to 1/90 X-sync.
For what it's worth, my Konica FS-1 has a built-in 2.5 fps motor drive and a vertically travelling electronically controlled blade shutter. It was introduced in 1979, about four years before the 1.5 fps Canon T-50.