While monitoring the temperature of the spindle slowly ramp up the spindle pausing for maybe 10 minutes at every 200 rpm step. Too much grease can cause severe overheating so if the temperature stays low enough that you can hold your hand against the bearing housings it is probably okay.
My guess is that when you start getting up around 1500 to 2000 rpm things will get too warm.
You can damage the bearings by running wih too much grease because the grease gets hot and deteriorates then causes bearing damage.
An open mind is a virtue...so long as all the common sense has not leaked out.