Yes, certainly the onset of the north coast sea breeze initiated the line of cumuliform cloud. THe roll of cloud gradually moved south to reach the south coast by about 2pm. This southward movement is common, probably the greater heating of the NW facing north coast in the afternoon plays a part.
By 3pmish the north coast sea breeze limit was just south of Penzance.
The sea breeze front ust south of Newlyn Green (my photo, looking SSE) Still cloudless in the distance.
The temperature peaked at 16.7C in the sunshine as the wind dropped away, just the cloud was directly overhead There was then a light NNE breeze, so typical sequence as the sea breeze front past overhead. However, instead of being followed by deep blue sky there was a lot of thin semi transparent Ac, with a few thicker patches with embedded small Cu. So, as you say. there was more going on. Endlessly intersting the weather.
A rather more impressive sea breeze front marching south, taken from virtually the same location. This time accompanied by a brief sharp shower and followed by the more typical deep blue sky.
Graham
Penzance