Hey,
I've just submitted my application without providing LOE of the modification. Some experienced consultants told me if we didn't get any additional point on this, the officers don't care much. Besides it's based on which program you are under. Mine is CEC and the most important documents are employment record and education history. A non-LMIA employment offer can't be more optional.
And people say it's very normal that our info changes from when we entered the pool at the beginning. I found out that some people changes their funding support to be 0 without LOE when they got invited so that they won't need to submit a financial support document, which is not important for CEC applicants. As long as the score is the same and there isn't misinterpretation on your honesty, you'll be fine.
If you are still worried, you could still attach an LOE. You could also ask IRCC representatives for ref before deciding what to do.
Wish us the best luck.