I would say that an alternator light starting to glow with increased load is indicative of either a poor electrical connection or possibly a failing rectifier pack on the alternator.
First check, as said, is the battery positive terminal, as the crimp often gets loose here. Run it with plenty of load on and the battery terminal will get hot.
Also check the negative terminal and all connections between the negative terminal, chassis and engine block, including the various straps between block and chassis.
Check the positive connection to the alternator (again, it will get hot if the connection is bad, but may be masked if the engine is also hot). Sometimes, the alternator mountings can corrode, and since these form the negative connection to the alternator, this can cause poor charging. If nothing else helps, take the alternator off and clean up the mounting faces on alternator and bracket with a bit of wet and dry.
It is often worthwhile connecting a voltmeter between alternator positive terminal and battery positive terminal, and then alternator casing and battery negative terminal. Any voltage drop here will indicate a poor connection. I'd expect only a few tenths of a volt with some decent loads drawing current.
Also run through the starting and charging guide and see how well it's charging.