Over time some cracks might show. Bugs that take longer to fix, issues that take longer to figure out, delayed releases, etc.
New features being implemented would be severely impacted, especially if those need integration from multiple teams.
Does this mean that there's fat? Maybe. Any company I worked for has a level of fat - and that might be a good thing, as demand quite often is not stable over time, you may need to ramp up initiatives without necessarily hiring/training new employees.