Every time I see a thread about moving batteries and weight to the front, it reminds me of the time I almost swamped my 22 tournament.
Honestly i thought that it should be clear that any added weight in the bow area should not exceed the weight what makes a boat slightly stern heavy. A motor boat should have the stern few degrees lower than the bow so that water will run to the stern where the scuppers are to allow water do drain and not accumulate on the bow what obviously is very dangerous at a unattended rest.
A further problem with too much weight on the bow is that a high deadrise bow boat will most likely start to bow steer much earlier than a correctly levelled boat.
It is important to verify deck level after moving weight to the bow, either with a angle measuring app in the phone or best throwing buckets of water on the bow and check for correct flow to the stern.
Moving batteries in the centerconsole should not make a boat too bow heavy while moving them to the bow can become one, as shorter the boat more the hull feel the shifted weight. Same with pre +/- 2000 hulls designed for 2 strokes where installing 4 strokes can lead to extreme stern heavy sitting at rest, ventilation issues when going over the hump and eventually bow high running at planing speed. In this case moving batteries to the bow or adding weight to the bow can help/solve to fix that behaviour.
Most cabin boats have a center and/or bow bilge pump as due the weight of the superstructure they usually rest more horizontally than open boats what rises the risk of sinking over the bow if the cabin should flow.
I never had nor one of the many many open boats i was or worked on had a bow bilge pump, simply because they don't need it, except the case that a large open container on the bow could fill with rainwater and push the bow down to a level where rainwater will not flow to the scuppers at the stern.
Chris