Did the Pyramid of Cestius inspire Fuller to build his mausoleum?

Victor-Jean Nicolle (1754-1826)

The Pyramid of Caius Cestius with the Aurelian Walls, Rome

A page about St Thomas a Beckett Church, Brightling  on the Britain Express website states that Jack Fuller's pyramid mausoleum was modelled after the Tomb of Cestius in Rome. The illustration above, by Parisian artist Victor-Jean Nicolle was done during one of his trips to Rome of either 1787–89 or 1806–11. The Pyramid of Cestius dates to about 12 BC and is approximately 120 feet (36 m) high and made of brick and cement, faced with white marble. 

"The pyramid was an essential sight for many who undertook the Grand Tour in the 18th and 19th centuries. It was much admired by architects, becoming the primary model for pyramids built in the West during this period." Source: Wikipedia