Do you consider these three entities mentioned in title same thing or different? If latter, what's difference between each of these entities?
First, let me say that investors and hodlers are the same, one have to invest to have something to hold right? So, that "investors" "holders" should have been merged into one, so the debate or comparison should have been "long term traders vs investors/holders.
And to say what I think, a long term trader is and remains a trader regardless of how long he or she has been trading, while an investor, a holder is the same as well.
And I see no reason to really compare this two because, one can always be the two, like, I can be a trader and also an investor, investing is not something that consumes time, you only need funds, and a little time for some research, then buy and move to your private wallet, this gives you enough time to be a trader as well if you don't have any other job you do.
Even someone who is working a day job can still be a crypto investor and a long term trader as well, only thing is, he or she will have to make his or her trading be on part time basis.