This is a 3rd model-year machine, and at least a 2nd-revision design. It has a clothes guard ring on the basket, which was not on the first introduction model. When working at the Whirlpool dealer, the first model we sold was LB5500XK. If I am not mistaken, LB5500XK (1982 model-year) was the only model Whirlpool offered initially. I have a service school book that covers it (dated 1981). It had four water levels, three temps, four cycles (Regular/Heavy, Knits/Gentle, Perm Press, Soak/Prewash. The console did not have wood-grain decor. More model choices were added later. XL is the next model-year (1983). XM follows that (1984).
The sequence you state, which I assume is following the designated agitation time on the Normal cycle -- pause, agitate, pause, agitate, pause, spin -- does not seem normal to me. Doesn't seem there should be a sequence of pause, agitate, pause and agitate again. One pause for motor reversal should occur between agitate and drain. My grandmother had an LA7400XM bought in November 1984. I could be wrong, but I vaguely recall that it didn't pause between "drain" and "spin" on Normal being as there was no need to shift the transmission. It did pause very briefly (long enough for the basket to brake to a stop) between drain and spin on Gentle & Perm Press for the motor to change speed (high-speed spin-drain, low-speed spin).
The machine you have there LA5430XM is a one-speed model, thus the Short cycle instead of Gentle.