New Haven's change in diversity appears to be occurring at a slower rate than national trends, which have shown more significant shifts towards diversity in many urban and suburban areas.

Based on observed trends, New Haven will likely continue to be categorized as a "Low Diversity" community in the near future. If the slow trend towards increased diversity continues, the city might transition into a "Moderate Diversity" category over the next 10-20 years. This transition would likely be accompanied by continued gradual increases in median income, assuming favorable economic conditions.

The slight increase in the black population and those identifying as two or more races suggests that these groups may continue to grow, potentially leading to a more diverse community in the long term. However, given the current slow pace of change, any significant shift in the demographic makeup would likely take several decades.

Economically, if the upward trend in median income continues, further improvements in the economic status of residents might be observed. This could potentially attract more diverse populations to the area, further accelerating the slow trend towards increased diversity.

In conclusion, while New Haven remains a predominantly white, low-diversity community, subtle shifts in its demographic makeup and economic indicators suggest a very gradual move towards increased diversity and economic growth. Significant changes to the city's demographic categorization are likely to occur only over an extended period, barring any major external factors that could accelerate these trends.