No, that link does not agree and it's complete fantasy. The entire premise of that reddit post is flawed. The bill was never voted on. The process ended during debate on the text of the bill. They
skinny repeal vote was no different than
every other amendment vote that failed, it just happened to be their last idea. After it failed they voted by unanimous consent to put the bill back on the calendar, which ends debate and removes the bill from current consideration. The calendar of business is a list of bills that can be brought to the floor for consideration with a motion to proceed. Ergo if they wanted to restart debate on the bill (something they have no interest in doing) they would just pass another motion to proceed.
The congressional budget act doesn't say anything about how many times you can debate a reconciliation bill, it just limits the time of debate.
(Section 305 does not either)
There are other milestones coming up that will end the current reconciliation process and send them back to square one