Yes, a difference in flow rates. The pump cycles based on maintaining some fixed pressure point, usually about 45 psi. The faster the flow rate, the more quickly pressure drops and causes the pump to come on. Sometimes a faucet has a rate of flow that is just right to produce annoying pump cycling. Of course, the more the tap is opened, the greater the flow. At some point the pump runs continuously trying to keep up.
It sounds as though your bath faucet at max flow is spewing water at a rate that is just slightly less than what the pump can produce. That causes the pump to reach shut-off psi but switch back on again almost immediately. Some possible remedies are: (1) Install a pump with a greater or lesser max flow rate (note this affects all faucets one way or the other), (2) adjust the pump pressure shut-off point up or down a bit (but not all pumps are adjustable), (3) switch to a variable flow rate pump (more expensive but nice).