I have not found any additional data to confirm Huijgh being alive after 1573.
This 1575 record is apparently for him.
In this publication there is also "Huigh Gerrytsz 2 Sep. 1554"
The mentioned Pouwels van Thorenvliet married in 1598 in Leiden.
The mentioned David Egbertszoon is often record next to one "Huijgh Claesz"
Perhaps a error in recording "Gerritsz" instead of "Claesz"?
Anyhow, I'll say
Huich Gerritsz Vrooman died between 1573 and 1582.
Thanks for the input