Right now is probably not the best time for service expansions. Service restorations need to come first.
Funneling service through the nation's third largest city makes more sense than running a train that misses the city by a couple hundred miles unless that train is full and other trains serve Chicago. Reliable connections would be needed if trains are re-routed away from current paths - for example, sending the Capital Limited or Lake Shore Limited southwest at Cleveland to St Louis instead of west to Chicago.
Connections are the biggest problem on the national network. You can't get from Toledo to Detroit on a train without going to Chicago. The multiple regional routes through Ohio noted in Mr Norman's post would help with connections - but are virtual non-starters thanks to PRIIA. One would need to come up with a route through Detroit to Toledo and beyond that was over 750 miles. Detroit to Jacksonville anyone? Buffalo to St Louis via Cincinnati and Indianapolis is long enough to create a Cleveland to Cincinnati connection in the middle. If a connection is worth building it is worth building regardless of who is paying for the trains. A national network should not be ruined by state budgets.
I wonder who the "Amtrak representatives" are that are shopping the new routes. Hopefully people with the authority to make proposals. With Amtrak in survival mode I am surprised that anyone is seeking extensions. They would need money to "build back better" that has not yet been allocated and (as noted) would need support from Ohio or other states served due to PRIIA limitations. The federally funded "3C" route does not exist today because the federal funds ended at building the service and relied on Ohio to fund operational costs that the state did not want to commit.
"However, for Ohio to gain new passenger services, the Ohio Department of Transportation will have to request it from Amtrak or other operators. Once an agreement is in place with a state entity, Amtrak may pay up to 100 percent of the capital costs to initiate new or additional services. Amtrak may also provide 100 percent of the operating costs in the first two years, 90 percent in the third year, 80 percent in the fourth year and 50 percent in the fifth year. After that, the new service must be state supported in the same manner that 16 other states currently purchase service from Amtrak." (All Aboard Ohio)