Parking is a red herring. We should be looking to undo the damage that single family zoning has unleashed on our communities. Build cities at human scales with appropriate mass transit (buses can be great with bus lanes) and you'll alleviate some of that parking "need" as families will be able to get by with fewer or no cars.
Then you need mass transit and in my area many leave the City to work elsewhere.
What I am saying is housing is complicated because everyone has different needs, changes always have unintended consequences and unlike many other market based items there is a limit because land cannot be created and can be very limited in some areas.
We haven’t even touched other aspects of housing like:
Police to Citizen ratio
Will increased housing require more fire stations and trucks
How about ambulances
What about the schools are they appropriately staffed and sized to handle more kids. If a new school needs to be built what land will be used
How about the roads, will additional housing make travel needlessly slow or frustrating. Will increased traffic effect business
Will the existing water & sewer lines handle extra load, how much extra can they handle, what needs to be done if the cannot
If we allow closer building to the wetlands what happens to the water run off
Housing is very complicated and there simply is no one solution that is going to work for all.