Is it possible to run multiple modal timer that uses same event?

hello i’m beginer to blender scripting and
i barely made a addon that clipping uv vertice to given grid
i know there is already built-in pixel clip function but that was not sufficient to me
because i need 1/2,1/3,1/n pixel grid clip function so i made one

i made my addon with modal timer operator
so my addon is compatible with built-in grab operation but
the problem is there is some delay because my script is called just
every 0.5 second and i want to fix this issue

to fix that issue i want to catch mousemove event
while built-in grab and vertice adjusting is executed
but it’s impossible to catch mousemove event
it seems like my modal operator and built-in grab modal operator crashes
what can i do?