This was your point.
You, of course, don't pay attention to what one Republicans says:
Instead you dwell on Cantor's remarks, which are a bit more obscure in the Republican way of obtuse-speak:
Real world translation:

this is their shell game..
they were told back in Feb if they cut the NWS funding it would result in cutting the tsunami warning center.. they cut it anyways, now they don't want to look bad, so the say "Hey, we just cut your overall budget, we didn't tell you to cut from that place, you did that on your own".. and they walk-away scott-free..
it's like cutting the school budget, and then saying "hey, we never told you to lay-off teachers and re-use 12 year old text books, we just cut your overall budget and it's up to you find where those cuts come from"
the cut was to the NWS funding, the NWS houses the tsunami warning center.. if the NWS gets cut the Tsunami center gets cut.. they were warned on this specifically, because hey, maybe they didn't know the NWS housed the center and maybe they weren't aware of what they were actually cutting.. so they were made aware and they voted for the cut anyway..
big surprise.. the NWS might have something to do with GW, so lets squeeze off it's funding so we don't have to hear about GW anymore..
when the tornado's are wreaking havoc and the NWS is being blamed for not warning people, they'll say
"Hey, we warned you guys that this is what the cuts would do" and the GOP reply will be
"Uh, no.. see we just cut your overall budget, you are the ones who decided to cut the tornado warning centers not us".. and they'll get away with it again..