Investigating the dynamism inherent in the world of culinaria, one can't help but realize that sushi, a time-honored Japanese cuisine, is no exception. As we traverse the path of the 21st century, sushi restaurants are constantly evolving, shaped by socio-economic factors, technological advancement, and changing consumption patterns. In the bid to predict the future of sushi restaurants, we must delve into the labyrinth of the gastronomic industry, exploring history, economics, statistics, and even the social sciences.

In the annals of culinary history, sushi initially emerged as an affordable, street-side snack, but has since evolved into a gourmet dining experience. This transformation owes much to a combination of demographic shifts, globalization, and evolving consumer preferences. In many urban societies, sushi has transitioned from being an exotic delicacy to a common entrée, driven by its appeal as a healthy and artisanal food option. Therefore, it's plausible to anticipate that sushi restaurants in the future may pivot towards promoting novel, health-oriented options, appealing to the health-conscious segment of consumers.

Further, economic theory suggests that as consumers' income increases, their demand for luxury goods, often termed 'Veblen goods', also increases. Sushi, particularly in upscale dining establishments, is perceived as such. Thus, in societies experiencing economic growth, we may see a parallel expansion in demand for high-end sushi dining experiences. Through a statistical lens, one could employ regression analysis to corroborate this hypothesis, examining the correlation between income growth and demand for sushi.

In tandem with evolving consumption patterns, technology's relentless march forward has also begun reshaping the sushi industry. For instance, sushi restaurants are increasingly leveraging robotics and automation. Sushi-making robots, which ensure precision and uniformity, are now a common sight in many establishments. The trade-off, however, is between efficiency and the traditional, artisanal touch that many sushi connoisseurs cherish. While some may argue that this mechanization infringes upon the artistry and craftsmanship inherent to sushi-making, others contend that it democratizes sushi, making it more accessible.

Moreover, increasing digitization is impacting the business models of sushi restaurants. Digital platforms have proliferated, enabling online ordering, reservations, and even virtual dining experiences. These digital innovations could further intensify in the future, resulting in a more integrated, seamless dining experience.

However, the growth and evolution of sushi restaurants aren't without challenges. The sustainability of sushi, particularly concerning overfishing, is a pressing concern. The bluefin tuna, a sushi staple, is now critically endangered due to overfishing. As resource depletion becomes an increasingly pressing issue, sushi restaurants will need to navigate the delicate balance between profitability and sustainability. This could potentially lead to a rise in plant-based sushi or 'sustainable sushi' in future menus.

Furthermore, cultural appropriation and authenticity are contentious issues in the sushi industry. As sushi continues to globalize, maintaining cultural integrity while catering to diverse palates will be a delicate balancing act for sushi restaurants. This dance could shape future trends, with restaurants striving to strike a balance between traditional sushi and localized adaptations.

In conclusion, while predicting the future invariably involves a degree of speculation, it’s clear that the sushi industry is on the precipice of significant evolution. The interplay of consumer preferences, technology, sustainability, and cultural dynamics is likely to manifest in myriad ways, reshaping sushi restaurants. The challenge and opportunity for these establishments lie in how they navigate these shifts, blending the traditional with the contemporary, and the artisanal with the automated, all while maintaining the essential ethos of sushi.