My special snowflake OS is embedded in millions of devices all over the world in safety-critical applications. It's not broken, it's the third-party software that incorrectly assumes time_t is a general integer arithmetic type that's broken.
The ISO C11 standard only says that time_t is a real type that holds values >= 0. The minute you start performing arithmetic on that type and checking if the result is less than zero you're entering undefined behaviour territory. For example, does the following program halt?
int main() {
for (unsigned i = 1; i >= 0); --i)
;
}
Also, why should people care about your special snowflake OS? The C standard doesn't even specify that time_t has to be an integral type, but anyone who expects code to cope with a floating point time_t is deluded. Why is your case any different?