It's a bit more insidious than preserving the character. Tall residential towers generally require certain amount of parking spaces, which in turn require more expensive structural support for the (usually) underlying garage.
Developers would justify the cost of the parking structure by adding a few residential floors on top of the tower. But that's where height restrictions kick in and price out low-tier and middle-tier apartments, leaving room only for luxury, using SF as an example http://missionlocal.org/2016/10/neighbors-double-down-agains... "Coliver said her team concluded that developers could squeeze a maximum of 13 parking spots in the 12,000 square foot lot— but that would make the building “structurally not feasible,” since it would require removing the columns that support the structure. The cost for the hypothetical scenario? Coliver said $2.25 million — or $180,000 a stall."
So the long-term recipe for opposing any new development is:
1) Require certain minimum parking spaces per square feet built (already done in most cities).
2) Run the numbers for a minimally economically viable structure, calculate the total number of floors it would need with parking garage included.
3) Lobby for regulations that set the maximum height at N-1 floors.
4) Bingo, every tall structure is now economically unfeasible. Saves you a trip to the city hall to protest new development, as most developers come to the conclusion that the numbers don't make sense well before acquiring the land and permits.