With the EGR circuit operating normally, in the cylinder let's assume you had 7% fuel, 90% air, and 3% exhaust gas. These numbers are made up just so we can think about the issue.
Now we disable the EGR circuit and the 3% exhaust gas is no longer present. Does the engine have additional breathing capacity to replace the 3% exhaust gas with air? If the 3% is replaced by fresh air, you have the same quantity of fuel and more air. There is a leaner condition. This assumes the ECM has made no adjustment to the fuel quantity.
Of course this is also dependent upon the load on the engine and the RPM. There may be additional breathing capacity at some load/RPM combinations but not at others.
If you have a block-off plate where the EGR valve used to be, I don't think exhaust gas can make it into the intake manifold (except from an un-optimized exhaust system).