Deeply-scaled three-dimensional (3D) Multi-Processor Systemson-Chip (MPSoCs) enable high performance and massive communication bandwidth for next-generation computing. However as process nodes shrink, temperature-dependent leakage dramatically increases, and thermal and power management becomes problematic. In this context, Integrated Flow Cell Array (FCA) technology, which consists of inter-tier microfluidic channels, combines onchip electrochemical power generation and liquid cooling of 3D MPSoCs. When connected to power delivery networks (PDN) of dies, FCAs provide an additional current compensating the voltage drop (IR-drop). In this paper, we evaluate for the first time how the IR-drop reduction and cooling capabilities of FCAs scale with advanced CMOS processes. We develop a framework to quantify the system-level impact of FCAs at technology nodes from 22𝑛𝑚 to 3𝑛𝑚. Our results show that, across all considered nodes, FCAs reduce the peak temperature of a multi-core processor (MCP) and a Machine Learning (ML) accelerator by over 22°C and 35°C, respectively, compared to off-chip direct liquid cooling. Moreover, the low operation voltages and high temperatures at advanced nodes improve up to 2× FCA power generation. Hence, FCAs allow to keep the IR-drop below 5% for both the MCP and ML accelerator, saving over 10% TSV-reserved area, as opposed to using a High-Performance Computing (HPC) MPSoC liquid cooling solution.