I have an "Endless Summer". This is it's third summer. I left it alone the first year and finally cut it back this spring. I was hoping the winter was mild enough to let the old growth survive. No luck. So I'm going to prune it back hard this fall, mulch over it well and see what it does next spring. It blooms on old and new growth, but mine only has new growth.
If your other Hydrangea blooms only on old growth, it might not bloom much for you in CT. If you can't find the variety name, I would take a wait and see approach. Just make sure you mulch or protect those roots some how this winter.