The energy sector is shifting towards decentralization and digitalization in view of climate change mitigation and decarbonization. In this context, the Web of Cells (WoC) approach is emerging. It aims at providing seamless coordination of flexibilities across network operators with the potential to incentivise flexibility usage more approriately, aligning it with system needs. Within this context, this paper makes use of a large-scale multi-energy system model to delve into the role of decentralized, small-scale flexibilities, with an emphasis on heat pump systems in residential buildings. Using a computationally tractable approximation of demand-side flexibilities, we explore the economic ramifications of integrating these flexibilities into the future energy system. A case study, envisioning decarbonization in Germany by 2050, sheds light on the implications for a decarbonized and decentralized energy sector. Key findings reveal that while these demand-side flexibilities can be economically advantageous for consumers, they also exert influence on system prices and the profitability of storage, as well as cross-sectoral units. The potential surge in market value for renewables and other technologies within a system following the WoC approach is highlighted. To foster collaborative exploration, the model's open-source code and the data set, vital for a 2050 scenario, are made available, supporting a deeper, collective assessment of the future's energy system.