I hope they plant a new one, because the shoots won’t grow as majestic as the original tree. Perhaps not, although one could select for a single stump sprout and, supported by a mature root system, it would grow faster than a new sapling.
On the other hand, it would be completely legitimate to coppice the tree. Let all the shoots grow back. It's what they would have done in Robin Hood's day.
Sycamores can come back very strong. We had a much bigger one in my parents' yard. It may have been the biggest in the county for a few years, as it was #2, and I know #1 had some serious storm damage in a storm that missed us. Eventually, after bouts of damage (lightning in one case, about 1/3 getting broken off in a later storm, and several rounds of Anthracnose, the electric power company insisted on taking it down, as it was a threat to power lines on the other side of the street.
One stump sprout dominated the others and is now a quite sizable tree itself, growing VERY well, as you say.