Working on the private namespace I have had to handle when a Parameter value is set in __init__ before calling super().__init__. This is to me an anti-pattern and I would be very happy not having to support that in Param. Also, it sort of works but isn't really fully tested so I wouldn't be surprised if it was also partially broken.

The only occurrence of this patter I found across the HoloViz packages was in HoloViews and it's been updated since then in holoviz/holoviews#5814.

I'd be in favor of deprecating this usage.