I should clarify that by splat, in this case I'm referring to a tearing on-screen where (I think) the switching was done half way through scanning a frame (or at least that's how it looked). If the screen was black at the time there was nothing visible.
There was also some slight tape noise audible on the Bilsdale opts.
Channel 4 themselves used an unsynced source for overnight teletext in-vision for years (and for the test card before that I believe).
In these examples, you'll see the slight picture glitch when they cut to teletext in-vision:
However, sometimes they would disguise the sync issue by cutting to the source during black and then fading up the teletext source. If you look very carefully at this clip, you'll see two vertical bars appear on the left side of the screen, at 42 seconds in. This is where the switch to the teletext source occurs. This enables a smooth fade up of the teletext source, at 1 minute 25 seconds in:
Channel 4 Pres didn't always do this. It seemed to depend on which director was on duty - some were obviously more fussy than others, and tried to avoid a visible picture glitch.