6v to DC input jack seems to work fine?

Indeed. My offering was simply an opinion it either fits or it doesn't as to multiplexing I chose that example on purpose to reflect the effects of multiplexing, the current drain will still be very similar, Mux'd LED's were all we had for years as indicators. Long before LCD's were more that a laboratory fantasy, They've been used in one form or another for more than 40 years of my direct knowledge. that having been said. I guess the remaining opinion I hold is that it is possible that there is a driver on board the LCD, it is there on my graphic LCD's for PWMing the backlight. 3V3 / 330 ohms = 10 mA. Impressive efficiency or base bias current for an NPN transistor? measuring the drop across the resistor should tell. Again IMO and good fuel for a discussion?

Bob