score:4
I don't think there's any reason to suppose he restricted healings or other miracles to the sabbath. It seems he was much more free with his healings (cf. Mat. 9:35ff) and with his commands about healing (cf. Mat. 10:7f).
But one instance is enough to disprove the hypothesis: Jesus healed the ear of the servant in Luke 22:49f. Then according to 22:66, he was tried the next day (or later that day, depending on how days are reckoned) and then executed, and Luke identifies the following day after that as the Sabbath (23:54). Hence he healed on a day other than the Sabbath. QED