There are just as many companys that won't look at you because your an intergrated pilot than there is that will only take intergrated.
The majority don't care either way.
The last 3 companys I worked for wouldn't touch them with a stick low hours unrated. And in that 5 year period they must have taken on about 20 first rating modular pilots and only 2 intergrated low hour but had bought the rating. Unfortunately one didn't complete the base check.