Likely because the platform he is on is not static, and is likely a standard part for multiple technicians, and possible with more than one on it at a time. It looks like the engine is stationary, and the station moves to where he is needed. If that's the case, they
could use some semi-specialized platforms for different uses, some with tables for manuals and parts, some without to accommodate more people at once. Then again, it's possible this worker needs a different set of tools an manuals for a different job a couple times a day, and having a bunch of work platforms might be less efficient in other ways than having a separate mobile tool/manual bench and work platform. That one isn't relocated on top of the other often might because it causes accidents when people change the loadout of the platform.
Or maybe it's as simple as them having determined in the past that making people move to shift tasks makes it less likely that they will attempt multiple at once from memory, and mess it up. Sometimes what looks like an inefficient process is actually serving another need you haven't considered, and is more efficient in the long run. Having technicians document each task as done and take a picture to confirm it might yield the same benefits, without the forced short-term inefficiency.