I don't remember personally, but I think judging by that clip they did show them all. You have to remember TV-am was disrupted for the best part of 6 months at that time, so it was likely that Batman was shown at least once a day during that period, even after the strike I think they still showed it, I can't say for how much longer they did, but it was on Channel 4 by about 1992.
They did keep on showing it for a while, because Batman was a big hit, I remember it getting on the cover of Look-In. It took a long time to get over the strike, when it began in November 1987 the schedule was all repeats, then in early December it was mostly repeats with half an hour of live material, and then by February 1988 it was down to just an hour of repeats, including Batman. I actually had an hour or so of TVam from February 1988 on an old Betamax and there was a bit when Richard Keys reads out a phone call from a viewer asking what happened to the second part of the Batman story which started the previous day, as that day they'd shown a completely different episode. The answer, of course, was because TVam would show these imports in any old order, and screw continuity.
I've got the 1989 Christmas TV Times and the Wide Awake Club was still showing Batman, although I think the other imports were phased out much quicker, I think their final outings might have been in the summer of 1988 before they brought back the Wide Awake Club on Saturday mornings in the autumn. As well as Happy Days and Flipper they also showed Daktari quite a bit.
Immediately when the strike began, I remember they showed repeats of the Wide Awake Club with Tommy Boyd coming on in the advert breaks to tell you not to write in. In fact the first I heard of the strike was one Saturday morning when I tuned in and a repeat was on, I remember they kept referring to it as being Bank Holiday Monday, and I was baffled. Then in 1992, after they'd lost their franchise, they couldn't be bothered with any new kids shows and for a bit they repeated episodes of Wacaday from the mid-eighties on Sunday mornings, which were completely irrelevant and an outrageous bit of programming. But I watched them every week because it was quite exciting to see "old" stuff.