The mid-1980s Acorn 8-bit range all used dynamic RAM for the onboard memory.
The BBC Micro range all had 250 ns DRAM, with the CPU getting 2e6 accesses and the video getting the other 2e6 (taking advantage of the 6502's predictable RAM access rate). The display memory fetches served to refresh the RAM.
I don't know much about the Acorn Electron, which was very different internally, but it had dynamic RAM as well. I expect the video refresh was used to refresh the DRAM in this case too - as the display memory layout was the same, and so over every 640 microsec it would touch every possible address LSB.
The 6502 second processor had DRAM as well, refreshed by a circuit that ran on a timer and stole the occasional cycle from the CPU at some rate.
Though static RAM was quite common for RAM upgrade boards (of one kind or another), presumably cheaper for this case than the alternative.