The problem is when people love low density cities and make it a great place to live. Then new people want to change it into denser cities with everyone living in apartments. Who should win out?
Also the hate against rent control here is myopic. Rent control is meant to protect those incumbents who were a part of the community prior to rapid growth / increase in prices. It allows low supply (protection of quality of life) to work without displacing incumbents when faced with rapid growth. Now we can argue about how effective specific implementations if rent control are, but a lot of folks misconstrue the underlying goals.
How related is this question to the gentrification of poor neighbourhoods and cities? If we go historically, the newcomers with new money always win out via (often violent) eviction. See: The People's History Podcast regarding Boston's government-supported gentrification of its public housing.
I feel that if we would take the stand to be against sparse neighbourhoods being changed into dense cities due to increased population, we should also protect and support low-income neighbourhoods and public housing from gentrifying construction projects and income-related displacement. But broadly the latter is often viewed as a sad but inevitable phenomenon, and therefore I don't know why that same logic shouldn't apply to increasingly dense cities.
The population of SF has only increased by 111K (14%) in the last 20 years. Imagine what we could do with twice as many people contributing tax revenue?
Dense areas need less taxes in general: the cost difference of a big pipe vs a small one isn't nearly as much as the amount the big pipe can carry. However this is more than made up by the fact that the more people to spread it out with means many services that were not affordable are now cheap and those cheap things add up (you don't need a library, and at farm density you can't afford one - but at city density it is cheap per person so you pay a little more), you need to ask if those extras you can have are worth it.
I'm making two assumptions above: corruption, and higher cost of living forcing higher wagers are both not significant issues. Both are factors, but I'm going to contend they are not significant - you get to decide if you believe me (different answers for different cities are likely!)
A 15-minute drive at maximum speed still takes longer than a 5 minute walk to the supermarket. Most suburbs end up experiencing traffic jams, with no option of foot traffic, subways, or other alternatives.