They are both right as it depends on how you want to judge it. I guess that from a legal, financial point of view, it is a new club and the Celtic fans are corrct. But for the Rangers fans who probably don't give a toss about such things, it is their club as it has always been.
The woman whose funeral I led yesterday was a Dundee United fan, and it was great for her to go out with them top of the table, which they were until Hamilton overtook them today. Nice to go out at the top.