fTimestamp error in documentation and question

$now = new fTimestamp();
$day_ago = new fTimestamp('-1 day');
 
// These return TRUE
$now->eq();
$now->eq('now');
$now->gt($day_ago);
$now->gte($day_ago);
$now->lt('+5 min');
 
// These calls return FALSE
$day_ago->lt($now);
$now->gt($day_ago);
$now->gte($day_ago);

The "FALSE" commands also returns true... well 2 of them are actually the same as above :)

Question : Is the following really true ??

$now->eq('now');

I thought that when $now is stored, is different from the timestamp it makes when invoquing lt method with 'now' param.

Maybe it is the same except if the script is so slow the two commands take place on a different second (which could happen even for the example if the script runs exactly at the time of going from one second to another)

Yes?

Aurelien